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
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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Solution to question 2 (a),(b),(c) please
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