(a) f(x) = (x¹/2+2-1/2) √In(x)

Calculus: Early Transcendentals
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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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4.
Find the derivatives of the following functions (show your work
(a) f(x) = (x¹/2+x-1/2)√√In(x)
(b) f(x)=
+ €²²
(c) f(x) = ln[(x² - 2x) In(x³ + 3x)]
e² + e-
(d) f(x)=
cos(x) + sin(x)
(e) f(x)= (1+²)² +1 (use logarithmic differentiation)
arcsin(x²)
√1-2²
Transcribed Image Text:4. Find the derivatives of the following functions (show your work (a) f(x) = (x¹/2+x-1/2)√√In(x) (b) f(x)= + €²² (c) f(x) = ln[(x² - 2x) In(x³ + 3x)] e² + e- (d) f(x)= cos(x) + sin(x) (e) f(x)= (1+²)² +1 (use logarithmic differentiation) arcsin(x²) √1-2²
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