Rational powers and reciprocals
Rational powers and reciprocals
4 marks
TGM Original
Given y=4 sqrt(x) - 3x2, x>0, find dydx. Hence find its value at x=1.
Solution:
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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{6}{x^{3}} + \dfrac{2}{\sqrt{x}}\); at \(x=1\), \(8\).
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