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Derivative By Muhammad Shahid DA SKBZ COLLEGE

Derivative By Muhammad Shahid DA SKBZ COLLEGE. Contents. 1) What is Derivative 2)Derivative at a point 3)Example 4)Instantaneous Rate of Change 5)Application of Derivative 6)Example 7)Chain Rule 8)Example of Chain Rule 9)Higher order Derivative 10)Example of Maximum and Minimum.

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Derivative By Muhammad Shahid DA SKBZ COLLEGE

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  1. DerivativeByMuhammad ShahidDA SKBZ COLLEGE

  2. Contents 1)What is Derivative 2)Derivative at a point 3)Example 4)Instantaneous Rate of Change 5)Application of Derivative 6)Example 7)Chain Rule 8)Example of Chain Rule 9)Higher order Derivative 10)Example of Maximum and Minimum

  3. Instantaneous rate of change EXAMPLE: Suppose that we are interested in determining how fast car is moving at the instant t=1. We might determine the instantaneous velocity by examining the average velocity during the interval near t=1

  4. Example:2A flu epidemic is spreading through a large Midwestern stage. Based upon similar epidemic which have occurred in the past epidemiologist have formulated a mathematical function which estimate the number of person who will be afflicted by the flu , the function is n=f(t)= -0.3t³+10t²+300t+250a)Find the instantaneous rate at which flu is expected to be spreading at t=11 and t=12 day

  5. Chain rule :-

  6. Higher order derivative The 1st derivatives a measure of the instantaneous rate of change in the value of y with respect to a change in x the 2nd derivatives is a measure of the instantaneous rate of change in the slop with respect to a change in x

  7. Point of Inflection

  8. Example: An electric current when flows in a circular coil of radius “r” exerts a forceon a small magnet located at a distance “x” above the centre of the coil show that “F” is maximum when x=r/2

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