Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² + b. v(x) = ex c. s(x) = x³e™ d. q(x) = - f. q(x) = 20 7x³ - 1 X x² - 2 X 1 e. q(x)= tan¯¹(x²) COS X x² + 1 g. f(x)=x sec(2³) h. v(x) = log5 (xª + 1) i. s(x) = 102³ _j. q(x) = tan² x + ✔x5 + 3 2√x²

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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Calculate the derivative of the following functions. Use the rules for derivatives.
a. w(x) = x² + +√x5 +
4
b. v(x) = ex
c. s(x) = x³e
d. g(x)=
f.
g.
h.
20
7x3
e. q(x)= tan¯¹(x²)
g(x) =
1
X
x² - 2
X- - 1
COS X
x² +1
f(x)=x sec(x³)
v(x) = log5 (xª + 1)
i. s(x) = 10x³
j. q(x) = tan² x
3
2√x²
Transcribed Image Text:Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² + +√x5 + 4 b. v(x) = ex c. s(x) = x³e d. g(x)= f. g. h. 20 7x3 e. q(x)= tan¯¹(x²) g(x) = 1 X x² - 2 X- - 1 COS X x² +1 f(x)=x sec(x³) v(x) = log5 (xª + 1) i. s(x) = 10x³ j. q(x) = tan² x 3 2√x²
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