Give each derivative. Do not use the limit definition. (Practice these until you can answer them quickly.) |f(x) = 9 f'(x) =

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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Give each derivative. Do not use the limit definition.
(Practice these until you can answer them quickly.)
f(x) = 9
|ƒ'(x) =
g(x) = X
g'(x)
=
|j(x) = −3x
j'(x) =
=
k(x) = x²
k'(x)
g'(x)
10
g(x) = x₁
=
=
S(x) = √√x
|S'(x) =
hint: write √ using a fraction exponent
T(x)
||
=
T'(x) =
1
x3
hint: write
R(x) = e
R'(x) =
=
1
x3
using a negative exponent
Transcribed Image Text:Give each derivative. Do not use the limit definition. (Practice these until you can answer them quickly.) f(x) = 9 |ƒ'(x) = g(x) = X g'(x) = |j(x) = −3x j'(x) = = k(x) = x² k'(x) g'(x) 10 g(x) = x₁ = = S(x) = √√x |S'(x) = hint: write √ using a fraction exponent T(x) || = T'(x) = 1 x3 hint: write R(x) = e R'(x) = = 1 x3 using a negative exponent
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