Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y = (2x + 5)¹⁰

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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3. Use chain rule to find the derivative of the following functions:
a. y = sin(5x)
b. y = cos(x²)
c. y = (2x+5) ¹⁰
d. y = (x² + x + 1)15
e. y = sin(ln x)
Transcribed Image Text:3. Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y = (2x+5) ¹⁰ d. y = (x² + x + 1)15 e. y = sin(ln x)
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use chain rule to find the derivative of the following function. 

d. y = (x² + x + 1)15
sin(lnx)
e.
y =
f. y = √√x³ + x² + x + 1
g. y = ex²+1
Transcribed Image Text:d. y = (x² + x + 1)15 sin(lnx) e. y = f. y = √√x³ + x² + x + 1 g. y = ex²+1
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