Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

Evaluate d/dx[a·e^(f(x))]
Options
A ae^(f(x))/f'(x)
B af'(x)e^(f(x))
Correct Answer
C ae^(f(x))
D f'(x)e^(f(x))
Correct Answer

Option B is the correct answer.

Detailed Explanation

By the chain rule, d/dx[e^(f(x))]=f'(x)e^(f(x)), so with the constant a multiplied through, the result is af'(x)e^(f(x)).

Hint

Apply the chain rule to the exponential of a general function f(x).

Question Info