Back to the full dot-point answer
VICMath MethodsQuick questions
Unit 2: Functions, calculus and probability
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 treating $e^{u }$ as $e^x \cdot u $?Show answer
It is a composite function, not a product.
What is forgetting the chain factor on $\ln u$?Show answer
$\frac{d}{dx} \ln(3x) = \dfrac{3}{3x} = \dfrac{1}{x}$, not $\dfrac{1}{3x}$.
What is confusing $a^x$ and $x^a$?Show answer
$a^x$ is an exponential; its derivative is $a^x \ln a$. $x^a$ is a power; its derivative is $a x^{a-1}$.
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.