Quick questions on Differentiation from first principles: VCE Math Methods Unit 3

4short 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 not factoring out

h

before cancelling?

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The whole point of the algebra is to cancel the

h

in the denominator with one

h

in the numerator. If you cannot factor

h

out, recheck the algebra.

What is q1?

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Differentiate

f(x) = x^2 - 5x

from first principles. [3 marks]

What is q2?

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Find the average rate of change of

f(x) = x^3

between

x = 1

and

x = 2

. [2 marks]

What is q3?

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Differentiate

f(x) = 4x^2 + 2

from first principles, then state

f'(1)

. [3+1 marks]

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