Answer and explanation

Correct answer: D.

  1. Step 1: Use the chain rule with inner function , so .
  2. Step 2: .
Answer
.
Why not the others: forgets the derivative of the exponent; differentiates wrongly; the last treats like a power function.

Practise more Functions, Differential Calculus and Exponential Modelling.

Free questions with an explanation for every one, and full timed NSW HSC mock tests.