a. Use the definition of the derivative to show that = e2. lim dx b. Show that the limit in part (a) is equal to 2. (Hint: Factor 2h - 1.) c. Use parts (a) and (b) to find the derivative of f(x) = e.

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Computing the derivative of ƒ(x) = e2x

a. Use the definition of the derivative to show that
= e2. lim
dx
b. Show that the limit in part (a) is equal to 2. (Hint: Factor
2h - 1.)
c. Use parts (a) and (b) to find the derivative of f(x) = e.
Transcribed Image Text:a. Use the definition of the derivative to show that = e2. lim dx b. Show that the limit in part (a) is equal to 2. (Hint: Factor 2h - 1.) c. Use parts (a) and (b) to find the derivative of f(x) = e.
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