■ (a) Find f'(x) if f(x) = 2√x-x√² + √2x−2+²-√2x + √2*

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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X
(a) Find ƒ'(x) if ƒ (x) = 2√x − x√² + √²x − 3/₂2₂
-
(b) Findƒ'(x), given that f(x) = (tan¯¹(√x))*
(c) Suppose ƒ () = 8 and ƒ'
Find g'(x)=
Find g' (1)
3
3
=
√2
*
-√2x + √2²
= 8 and f'() = −4, and let g(x) = f(x) cos(2x).
3
(give exact answer, NOT decimal approximations)
Transcribed Image Text:X (a) Find ƒ'(x) if ƒ (x) = 2√x − x√² + √²x − 3/₂2₂ - (b) Findƒ'(x), given that f(x) = (tan¯¹(√x))* (c) Suppose ƒ () = 8 and ƒ' Find g'(x)= Find g' (1) 3 3 = √2 * -√2x + √2² = 8 and f'() = −4, and let g(x) = f(x) cos(2x). 3 (give exact answer, NOT decimal approximations)
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