'Concavity test' presentation slideshows

CHAPTER 3 SECTION 3.6 CURVE SKETCHING

CHAPTER 3 SECTION 3.6 CURVE SKETCHING. Graph the following functions on your calculator and make a sketch. What do you notice about the graph of a function where there is a factor that appears twice?. 1) y=(x+1)(x-2) 2 2) y= x(x+3) 2 3) y=(x+1)(x-3) 2.

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MAT 1221 Survey of Calculus

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Sec4.3: HOW DERIVATIVES AFFECT THE SHAPE OF A GRAPH

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4.3

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Section 4.3

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4.3 1st & 2nd Derivative Tests

4.3 1st & 2nd Derivative Tests. Increasing or Decreasing? : If f ? ( x ) > 0 in an interval, then f is increasing in the interval. If f ? ( x ) < 0 in an interval, then f is decreasing in the interval. 1st Derivative Test c is critical number of f :

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3.3 1 st Derivative Test

3.3 1 st Derivative Test. Increasing or Decreasing? : If f ? ( x ) > 0 in an interval, then f is increasing in the interval. If f ? ( x ) < 0 in an interval, then f is decreasing in the interval. 1st Derivative Test c is critical number of f :

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Calculus I

Calculus I. Section 4.3 Graphs and Derivatives. Homework Changed. Read (pp 296-303) and (pp 316-329) Do (pp 304) 1, 5, 7, 10, 13, 17, 23, 25, 27, 31, 33, 43, 45 Do (pp 324) 1, 17, 29, 33, 41. Increasing/Decreasing Test.

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3.4 Concavity

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Section 4.3

Section 4.3. How Derivatives Affect the Shape of a Graph. INCREASING/DECREASING TEST. Theorem : (a) If f ?( x ) > 0 on an interval, then f is increasing on that interval. (b) If f ?( x ) < 0 on an interval, then f is decreasing on that interval. THE FIRST DERIVATIVE TEST.

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