1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- 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...
Question
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1. Find the derivative of the following functions:
a. y = x²
b. y = x4
c. y = 1/
X
d. f(x) = -1/2
x²
e. f(x) = √x
f. f(t) = √t
g. f(u) = u ² +u² + 1/1/2
น
h. f(v) = sin v
i.
j.
k. y = ln x
1. y = 5 cos x + 8 lnx + 3x³
3x²+3x²+1
x
y = cos x + x"
f(t) = et
m. y =
T' 1 1
>
Transcribed Image Text:1. Find the derivative of the following functions: a. y = x² b. y = x4 c. y = 1/ X d. f(x) = -1/2 x² e. f(x) = √x f. f(t) = √t g. f(u) = u ² +u² + 1/1/2 น h. f(v) = sin v i. j. k. y = ln x 1. y = 5 cos x + 8 lnx + 3x³ 3x²+3x²+1 x y = cos x + x" f(t) = et m. y = T' 1 1 >
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Follow-up Question
d. f(x) = 2
x2
e. f(x) = √x
f. f(t) = √√t
g.
f(u)= ut + u² +
น
Transcribed Image Text:d. f(x) = 2 x2 e. f(x) = √x f. f(t) = √√t g. f(u)= ut + u² + น
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