Quick questions on Differentiation techniques: product, quotient, chain, implicit and parametric - SQA Advanced Higher Maths

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 wrong second parametric derivative?

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\dfrac{d^2y}{dx^2}

is not

\dfrac{d^2y/dt^2}{d^2x/dt^2}

; you differentiate

\dfrac{dy}{dx}

with respect to

t

and then divide by

\dfrac{dx}{dt}

What is q1?

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Differentiate

y = \tan^{-1}(2x)

. [2 marks]

What is q2?

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For

x^2 + y^2 = 25

, find

\dfrac{dy}{dx}

. [2 marks]

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