1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral and the chain rule, prove that the following formula holds wob da fah(t)dt = h(g(x))g'(a) - h(f(x)) ƒ'(x), dx where f, g are differentiable functions and h is a continuous function.

1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral and the chain rule, prove that the following formula holds wob da fah(t)dt = h(g(x))g'(a) - h(f(x)) ƒ'(x), dx where f, g are differentiable functions and h is a continuous function.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...

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Question

1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral and the
chain rule, prove that the following formula holds
(g(x)
da foh(t)dt = h(g(x))g'(x) - h(f(x))ƒ'(x),
dx
where f, g are differentiable functions and h is a continuous function.

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