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Use part one of the fundamental theorem of calculus to find the derivative of the function. -√³x 5 y = 3x + 4 t 1 + t³ dt

Use part one of the fundamental theorem of calculus to find the derivative of the function. -√³x 5 y = 3x + 4 t 1 + t³ dt

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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**Instruction:** Use part one of the fundamental theorem of calculus to find the derivative of the function. **Function:** \[ y = \int_{5}^{3x+4} \frac{t}{1 + t^3} \, dt \] **Derivative:** \[ y' = \frac{3}{1 + (3x + 4)^3} \] Note: The current derivative solution is marked incorrect with a red "X".
Transcribed Image Text:**Instruction:** Use part one of the fundamental theorem of calculus to find the derivative of the function. **Function:** \[ y = \int_{5}^{3x+4} \frac{t}{1 + t^3} \, dt \] **Derivative:** \[ y' = \frac{3}{1 + (3x + 4)^3} \] Note: The current derivative solution is marked incorrect with a red "X".
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