Question

Estimate the instantaneous rate of change of the function f(x) = 5ex at the point x =
e. (round your answer to three decimal places.)

Answer 1

You can find the derivative,

... f'(x) = 5e^x

and evaluate at x=e.

... f'(e) = 5e^e ≈ 75.771311

The derivative is approximately 75.771.