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Part 2: The derivative of a definite integral sin(t) Suppose F(x) = dt. Use the Fundamental of Theorem of Calculus to calculate F'(x). 9 6 +t F'(x) = e

Part 2: The derivative of a definite integral sin(t) Suppose F(x) = dt. Use the Fundamental of Theorem of Calculus to calculate F'(x). 9 6 +t F'(x) = e

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Please only answer part 2 and 3
Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for all real numbers x. Evaluate the following derivative. Enter the derivative of F(x) using prime notation, i.e., as F'(x). d (F(z*)) = F(^)-4x³ dx Part 2: The derivative of a definite integral sin(t) Suppose F(x) = dt. Use the Fundamental of Theorem of Calculus to calculate F'(x). 6 +t F'(x) = Part 3: The derivative of a definite integral and the chain rule
Transcribed Image Text:Part 1: A derivative computation using the chain rule Suppose F(x) is a differentiable function for all real numbers x. Evaluate the following derivative. Enter the derivative of F(x) using prime notation, i.e., as F'(x). d (F(z*)) = F(^)-4x³ dx Part 2: The derivative of a definite integral sin(t) Suppose F(x) = dt. Use the Fundamental of Theorem of Calculus to calculate F'(x). 6 +t F'(x) = Part 3: The derivative of a definite integral and the chain rule
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