8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x + 4)³(x – 3)6 b. y = (x² + 3)³(x³ + 3)² d. h(x) = x'(3x – 5)² e. y = x*(1 – 4x²)³ - | 3x? + 2x 3 4 с. у %3 f. у- x² + 1 2. x² + 3

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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8. Differentiate each function. Express your answer in a simplified factored form
a. f(x) = (x + 4)*(x – 3)6
b. y = (x² + 3)³(x³ + 3)²
3x² + 2x
.
d. h(x) = x°(3x – 5)²
e. y = x*(1 – 4x²)³
-
3
4
3
y =
f. y =
.2
+ 1
x² + 3
.2
Transcribed Image Text:8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x + 4)*(x – 3)6 b. y = (x² + 3)³(x³ + 3)² 3x² + 2x . d. h(x) = x°(3x – 5)² e. y = x*(1 – 4x²)³ - 3 4 3 y = f. y = .2 + 1 x² + 3 .2
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