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 \( g(r) = \int_{0}^{r} \sqrt{x^2 + 4} \, dx \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11c3e735-47a2-4be2-bcf0-76944b0744ea%2Fde12f434-e9fe-4fa0-a6f4-b9f215f0aa65%2Fd0jkff_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11c3e735-47a2-4be2-bcf0-76944b0744ea%2Fde12f434-e9fe-4fa0-a6f4-b9f215f0aa65%2Fes55k3_processed.png&w=3840&q=75)
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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