Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is afunction defined on I and that F is an antiderivative of f on I. ThenA [f(g(x))(g'(x)) dx = F(g(x)) + CⓇ®Bff(g(x))(g(x)) dx = F(g(x)) + C©C[f(g(x)) (g'(x) dx = F(g(x)) + CD[F(g(x)) (g'(x)) dx = f(g(x)) + C

Given that g be a differentiable function and the range of g be an interval I. f is a function…

Answered: Let g be a differentiable function, and…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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