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1 Pure Mathematics

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Question 101

A curve has equation y=4x2+16x+1y = 4x^2 + \dfrac{16}{x} + 1y=4x2+x16​+1 for x>0x > 0x>0.

a.

Find dydx\dfrac{dy}{dx}dxdy​.

[3]
b.

Find the exact range of values of x x\,x for which the curve is increasing.

[2]
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1 Pure Mathematics Questions

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