Quotients of functions
Quotients of functions
7 marks
TGM Original
Given y= 2 x + 1sqrt(x), x>0, find dydx. Find the input at which the derivative is zero.
Solution:
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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{2}{\sqrt{x}} - \dfrac{2 x + 1}{2 x^{\frac{3}{2}}}\) The required input is \(x=\dfrac12\).
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