smc-740-60-Find f(x) given f'(x)

Calculus, MET1 2022 VCAA 2a

Let

Find the rule for an antiderivative of . (1 mark)

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Notes:

→ As the domain is the natural log to the base is used

→ A constant is not required in the solution as the question only asks for AN antiderivative not a family of solutions.

♦ Mean mark 50%.

Let .

Find an antiderivative of . (1 mark)

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The derivative with respect to of the function has the rule .

Given that , find in terms of . (3 marks)

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If and find . (3 marks)

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Let , where .

Given that , find . (3 marks)

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