me that h: [a, b] R is a continuous function and let G: [a, b] → R denote ollowing function, G(x)= h(t)dt.

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
Section4.5: Derivatives Of Logarithmic Functions
Problem 54E
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please can you help me with this analysis question, many thanks

Assume that h: [a, b] → R is a continuous function and let G: [a, b] → R denote
the following function,
G(x) =
- f² h(t)dt.
Show that G is differentiable and find its derivative.
Transcribed Image Text:Assume that h: [a, b] → R is a continuous function and let G: [a, b] → R denote the following function, G(x) = - f² h(t)dt. Show that G is differentiable and find its derivative.
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