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Boards concept booster Class 12 Application of Derivatives

Class 12 Application of Derivatives Concept Booster for Board Exam. Students can study from this comprehensive conceptual PDfs and videos on Application of Derivatives and its various sub-topics for effective board exam preparation. The concept booster helps the student to swiftly revise the important concepts just before the board exam.<br>For more such video solutions/Pdf solution, visit https://doubtnut.com and clear your doubt instantly.

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Boards concept booster Class 12 Application of Derivatives

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  1. BOARDS CONCEPTS BOOSTER APPLICATION OF DERIVATIVES  Download Doubtnut Today Ques No. Question CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 1. DERIVATIVE AS A RATE MEASURE 1 1. Introduction: average rate and instantaneous rate  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 1. DERIVATIVE AS A RATE MEASURE 2 2. Rate of change in geometry  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 1. DERIVATIVE AS A RATE MEASURE 3 3. Rate of change in motion  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 1. DERIVATIVE AS A RATE MEASURE

  2. 4 4. Rate of change in cost and revenue  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 2. INTERPRETATION OF DY/DX AS A RATE MEASURE 5 1. Rate when dimensions are increasing or decreasing  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 2. INTERPRETATION OF DY/DX AS A RATE MEASURE 6 2. Sunlight pole height problem  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 2. INTERPRETATION OF DY/DX AS A RATE MEASURE 7 3. kite problem stick on wall in sleeping  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 2. INTERPRETATION OF DY/DX AS A RATE MEASURE 8 4. Problem of Water flow  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES

  3. 3. APPROXIMATIONS 9 1. Differentials definitions (in terms of small change) and examples  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 3. APPROXIMATIONS 10 2. Absolute error; relative error and percentage error and Geometric meaning of differentials and algorithm  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 3. APPROXIMATIONS 11 3. Time period of pendulum problem  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 3. APPROXIMATIONS 12 4. Calculation of approximate value  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 3. APPROXIMATIONS 13 5. Calculation of square root and cube root  Click to LEARN this concept/topic on Doubtnut

  4. CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 14 1. Rolle theorem: statement or definition  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 15 2. Geometric meaning of rolles theorem and its use  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 16 3. Applicability of rolles theorem  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 17 4. Verify Roll Theorem  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 18 5. Determine solution of equation using Rolle Theorem

  5.  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 19 6. LMVT: Statement; proof and Geometrical interpretation  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 20 7. Verification of LMVT  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 4. MEAN VALUE THEOREMS 21 8. Prove inequalities using LMVT  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 5. EQUATION OF TANGENTS AND NORMALS 22 1. Slope of tangent and normal  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES

  6. 5. EQUATION OF TANGENTS AND NORMALS 23 2. Equation of normal and tangents  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 5. EQUATION OF TANGENTS AND NORMALS 3. Finding the equations of tangent and normal to a curve at a point 24  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 5. EQUATION OF TANGENTS AND NORMALS 25 4. Length of tangent; normal; subtangent and subnormal  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 5. EQUATION OF TANGENTS AND NORMALS 26 5. Finding the equations of tangent and normal parallel or perpendicular to a given line  Click to LEARN this concept/topic on Doubtnut

  7. CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 5. EQUATION OF TANGENTS AND NORMALS 27 6. Finding the equation of the curve  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 6. ANGLE BETWEEN THE CURVES 28 1. Angle between two curves: how it is equal to angle between tangents  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 6. ANGLE BETWEEN THE CURVES 29 2. Show that the curves x = y2 and xy = k cut at right angles; if 8k2= 1  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY 30 1. What is increasing or decreasing function  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY

  8. ( ( )) 31 x a 2. Find the locus of point on the curve y2= 4a x + asin where tangents are parallel to the axis of x  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY 32 3. Solve: 4x3- 24x2+ 44x - 24 > 0  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY 33 4. Strictly increasing functions and strictly decreasing functions  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY 5. Show that the function f(x) = x2 is neither strictly increasing nor strictly decreasing on R. 34  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY

  9. 35 6. Let f be continuous on [a; b] and differentiable on (a; b) If f(x) is strictly increasing on (a; b) then f′(x) > 0 for all x ∈ (a; b) and if f(x) is strictly decreasing on (a; b) then f′ (x) < 0 for all x ∈ (a; b)  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY 7. Let f be a differentiable real function defined on (a; b) and if f′ (x) > 0 for all x ∈ (a; b) then f is increasing on (a; b) and if f′(x) < 0 for all x ∈ (a; b) then f(x) is decreasing on (a; b) 36  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 7. MONOTONOCITY x 37 8. Find the intervals in which f(x) = logx is increasing or decreasing  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 8. MAXIMA AND MINIMA 38 1. Maximum and minimum value of function in its domain  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 8. MAXIMA AND MINIMA 39

  10. 2. Find maximum and minimum value; if any; for f(x) = - |x - 1| + 5 for all x ∈ R  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 9. TESTS FOR LOCAL MAXIMUM/MINIMUM 40 1. Local maximum and local minimum and condition for it  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 9. TESTS FOR LOCAL MAXIMUM/MINIMUM 41 2. Condition of extremum  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 9. TESTS FOR LOCAL MAXIMUM/MINIMUM 42 3. First derivative test for local maxima and minima (method and how it comes)  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 9. TESTS FOR LOCAL MAXIMUM/MINIMUM 43 4. Higher order derivative test  Click to LEARN this concept/topic on Doubtnut

  11. CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 9. TESTS FOR LOCAL MAXIMUM/MINIMUM 44 5. Find all the points of local maxima and minima of the f(x) = x3- 6x2+ 9x - 8  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 10. TESTS FOR GLOBAL MAXIMUM/MINIMUM 45 1. Global Maximum and Minimum and the required condition  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 11. POINT OF INFLECTION 46 1. Point of inflection and point of inflexion  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 12. PROPERTIES OF MAXIMA AND MINIMA 47 1. Properties of maxima and minima  Click to LEARN this concept/topic on Doubtnut

  12. CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 13. APPLICATION OF EXTREMUM 48 1. Maxima and minima in close interval  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 13. APPLICATION OF EXTREMUM 49 2. Applications of Maxima and minima in Geometry  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 13. APPLICATION OF EXTREMUM 50 3. Applications of Maxima and minima in algebra  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 13. APPLICATION OF EXTREMUM 51 4. Applications of Maxima and minima in trigonometry  Click to LEARN this concept/topic on Doubtnut

  13. CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 13. APPLICATION OF EXTREMUM 5. Find two positive numbers whose sum is 14 and the sum of whose squares is minimum 52  Click to LEARN this concept/topic on Doubtnut CONCEPT FOR BOARDS || Chapter APPLICATION OF DERIVATIVES 13. APPLICATION OF EXTREMUM 53 6. Find the point on the curve y2= 4x which is nearest to the point (2; - 8)  Click to LEARN this concept/topic on Doubtnut  Download Doubtnut to Ask Any Math Question By just a click  Get A Video Solution For Free in Seconds  Doubtnut Has More Than 1 Lakh Video Solutions  Free Video Solutions of NCERT, RD Sharma, RS Aggarwal, Cengage (G.Tewani), Resonance DPP, Allen, Bansal, FIITJEE, Akash, Narayana, VidyaMandir  Download Doubtnut Today

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