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QLDMath MethodsQuick questions
Unit 2: Calculus and further functions
Quick questions on Introduction to differential calculus: QCE Math Methods Unit 2 Year 11
5short 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 tangent?Show answer
Line at $x = a$ with gradient $f'(a)$ passing through $(a, f(a))$: $y - f(a) = f'(a)(x - a)$.
What is normal?Show answer
Perpendicular: gradient $-1/f'(a)$.
What is power rule on $e^x$, $\sin x$, $\ln x$?Show answer
Power rule applies to $x^n$, not these (introduced in Unit 3).
What is forgetting to set $f' = 0$ for stationary points?Show answer
Stationary means zero gradient.
What is tangent gradient confused with function value?Show answer
$f(a)$ is value; $f'(a)$ is gradient.
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