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= [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

= [₁²₁ Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of g (r) : = x² + 4dx.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Checkpoint 1.16 Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of \( g(r) = \int_{0}^{r} \sqrt{x^2 + 4} \, dx \).
Transcribed Image Text:### Checkpoint 1.16 Use the Fundamental Theorem of Calculus, Part 1 to find the derivative of \( g(r) = \int_{0}^{r} \sqrt{x^2 + 4} \, dx \).
### CHECKPOINT 1.17 Let \( F(x) = \int_{1}^{x^3} \cos t \, dt \). Find \( F'(x) \). --- This problem requires applying the Fundamental Theorem of Calculus and the Chain Rule to find the derivative of a function defined by an integral with a variable upper limit.
Transcribed Image Text:### CHECKPOINT 1.17 Let \( F(x) = \int_{1}^{x^3} \cos t \, dt \). Find \( F'(x) \). --- This problem requires applying the Fundamental Theorem of Calculus and the Chain Rule to find the derivative of a function defined by an integral with a variable upper limit.
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