Question

Evaluate [Ln(f’(5))]^2 if f(x)=e^x

Answer 1

To evaluate [Ln(f’(5))]², we find the derivative of f(x) = e^x, evaluate it at x = 5, take the natural logarithm of the result, and square it.

Step-by-step explanation:

To evaluate [Ln(f’(5))]² using the given function f(x) = e^x, we first find the derivative of f(x). The derivative of e^x with respect to x is e^x. Evaluating f’(x) at x = 5 gives us f’(5) = e^5. Next, we take the natural logarithm of e^5 to get [Ln(f’(5))]. Finally, we square the result to find [Ln(f’(5))]² = (Ln(e^5))² = (5)² = 25.