3. Let f : R→ R be continuous and let a > 0. Define g : R → R byrx+ag(x) =f(t)dt, ax E R.x-aShow that g is differentiable and find g'.

Answered: Image /qna-images/answer/7855ac5a-60c6-40a8-b3f7-4acc920de04c.jpg

Answered: 3. Let f : R→ R be continuous and let a…

3. Let f : R→ R be continuous and let a > 0. Define g : R → R by rx+a g(x) = f(t)dt, x € R. x-a Show that g is differentiable and find g'.

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.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 4CR

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Question

3. Let f : R→ R be continuous and let a > 0. Define g : R → R by
rx+a
g(x) =
f(t)dt, a
x E R.
x-a
Show that g is differentiable and find g'.

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