Question: Computing the derivative of f(x) = e -x a. Use the definition of the derivative to show that b. Show that the limit in part

Computing the derivative of f(x) = e-x

a. Use the definition of the derivative to show that

-h (e-*) = e¯*• lim |dx

b. Show that the limit in part (a) is equal to –1. Use the facts that eh – 1 lim and ex is continuous for all x.

c. Use parts (a) and (b) to find the derivative of f(x) = e-x.

-h (e-*) = e* lim |dx eh 1 lim

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