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Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a single term and use it to find h(0).

Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a single term and use it to find h(0).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a single term and use it to find h(0).
Transcribed Image Text:Suppose that h is differentiable and h(x + y) = h(x)h(y). Find a formula for h'(x)consisting of a single term and use it to find h(0).
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