Find the local extreme value of the function f(x) = e^x

Question

Question

Answer 1

Concept:

Following steps to finding maxima and minima using derivatives.

Find the derivative of the function.
Set the derivative equal to 0 and solve. This gives the values of the maximum and minimum points.
Now we have find second derivative.

Calculation:

Given:

f(x) = e^x

Differentiating with respect to x, we get

⇒ f’(x) = e^x

For maximum value f’(x) = 0

∴ f’(x) = e^x = 0

Exponential function can never assume zero for any value of x, therefore function does not have local maxima or minima.