Find f'(x). Do not simplify your answer. (a) f(x)=arcsin(log2(2x + 1) + x) (b) f(x)=-5x2 arctan (ln x) arcsec(3x) (d) f(x) = cos(x) (c) f(x) = ((x² - 1)³ - √T+1)³ (e) f(x)=sin(2 cos(arccot x)) (f) ƒ(x) = log (1 + ±½) In (sec²(x) + 1)
Find f'(x). Do not simplify your answer. (a) f(x)=arcsin(log2(2x + 1) + x) (b) f(x)=-5x2 arctan (ln x) arcsec(3x) (d) f(x) = cos(x) (c) f(x) = ((x² - 1)³ - √T+1)³ (e) f(x)=sin(2 cos(arccot x)) (f) ƒ(x) = log (1 + ±½) In (sec²(x) + 1)
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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Question
Solution to question 2 (d),(e),(f) please
Transcribed Image Text:Question 1
Let f be a differentiable function. We are given the following values of f and f'
f(x)
f'(x)
1
4
1
2
4
2
4
1
4
Consider the functions g, h, and k defined by
g(x) = f(x²) h(x) =
f(x)
2:2
k(x) = 3(f(x))³ — √√ f(x)'
l(x) = f(f(x) - 2) — f(x)g(x)
Find the following values. Show all necessary work:
(a) g'(2)
(b) h'(1)
Question 2
(c) k'(4)
(d) l'(2)
(d) f(x)
arcsec(3x)
cos(x)
(e) f(x)=sin(2 cos(arccot x))
3
Find f'(x). Do not simplify your answer.
(a) f(x) = arcsin (log2(2x+1)+x)
(b) f(x)=-5x2 arctan (ln x)
(c) f(x) = ((x² - 1)5 - √π + 1)³
Question 3
Consider the curve x sin(xy - y2) = x − 1.
dy
dx
(f) f(x) = log (1+) In (sec²(x)+1)
dx
(b)
dy
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