Rational powers and reciprocals

Rational powers and reciprocals

4 marks
TGM Original
Given y=6 x 23 - 1 [3]x, x>0, find dydx. Hence find its value at x=1.

Solution:

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{4}{\sqrt[3]{x}} + \dfrac{1}{3 x^{\frac{4}{3}}}\); at \(x=1\), \(\dfrac{13}{3}\).

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