(c) f(x) = (52–6)* 3x²+4 Solution: For this one we need to use the quotient rule first.

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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(5–6)*
(c) f(x) = 3x²+4
Solution: For this one we need to use the quotient rule first.
f'(x)
=
11
(3x² + 4)((5x − 6)4¹)' - ((5x - 6)4) (3x² + 4)'
-
(3x²+4)²
(3x²+4) (4(5x — 6)³. 5) - ((5x-6)4)(x)
2
(3x² + 4)²
2
2
(3x²+4)²
(5x-6)³ (30x² + 36x +80)
Transcribed Image Text:(5–6)* (c) f(x) = 3x²+4 Solution: For this one we need to use the quotient rule first. f'(x) = 11 (3x² + 4)((5x − 6)4¹)' - ((5x - 6)4) (3x² + 4)' - (3x²+4)² (3x²+4) (4(5x — 6)³. 5) - ((5x-6)4)(x) 2 (3x² + 4)² 2 2 (3x²+4)² (5x-6)³ (30x² + 36x +80)
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