Quick questions on Derivatives of exponential and logarithmic functions (VCE Maths Methods Unit 2)

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

Show answer

Differentiate

f(x) = e^{4x}

and

g(x) = \ln(2x + 5)

. [2+2 marks]

What is q2?

Show answer

Find the gradient of

y = xe^{x}

x = 1

. [3 marks]

What is q3?

Show answer

A radioactive sample has mass

M = 50e^{-0.1t}

grams. (a) Find

\frac{dM}{dt}

. (b) Find the rate of decay at

t = 5

Have a question we have not covered?

This dot-point answer is short enough that we have not extracted many short questions yet. Read the full dot-point answer or ask Mo, our study assistant, in the chat for follow ups.

All Math MethodsQ&A pages