Differentiate with respect to .
Answer and explanation
Correct answer: D.
- Step 1: Use the chain rule with inner function , so .
- 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.
More Functions, Differential Calculus and Exponential Modelling questions
- Differentiate with respect to .
- Find the gradient of the normal to the curve at the point where .
- Find the equation of the horizontal asymptote of the function .
- A bacterial colony grows according to the model , where is measured in hours. What is the initial population of tβ¦
- What is the domain of the function ?
- Evaluate .