6- Graph of f Let fbe the continuous function defined on [-1,8] whose graph consisting of two line segments, is shown above. let g and h be the functions defined by g(x)= Vx² -x+3 and h(x)=5e* -9sin.x. (a) The function k is defined by k(x)= f(x)g(x). Find k'(0). (b) The function m is defined by m(x) = S(x) Find m'(5). 2g(x) (c) Find the value of x for -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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Graph of f
Let fbe the continuous function defined on [-1,8] whose graph consisting of two line segments, is shown above.
let g and h be the functions defined by g(x)=Vx² -x+3 and h(x)=5e* -9sinx.
(a) The function k is defined by k(x)= f(x)g(x). Find k'(0).
f(x)
(b) The function m is defined by m(x)=
2g(x)
Find m'(5).
(c) Find the value of x for -1<x<2 such that f'(x)=h'(x).
to
to
Transcribed Image Text:6+ 4- /2 6. 8 Graph of f Let fbe the continuous function defined on [-1,8] whose graph consisting of two line segments, is shown above. let g and h be the functions defined by g(x)=Vx² -x+3 and h(x)=5e* -9sinx. (a) The function k is defined by k(x)= f(x)g(x). Find k'(0). f(x) (b) The function m is defined by m(x)= 2g(x) Find m'(5). (c) Find the value of x for -1<x<2 such that f'(x)=h'(x). to to
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