Find the derivative. Please show your process. F(x)= 2/sqrt(x) + sqrt(x)/2

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(1) Answers

jackie1977

Using power rule alone, you have
[latex]\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac2{\sqrt x}+\dfrac{\sqrt x}2\right]=\dfrac{\mathrm d}{\mathrm dx}\left[2x^{-1/2}+\dfrac12x^{1/2}\right]=-x^{-3/2}+\dfrac14x^{-1/2}=-\dfrac14x^{-3/2}(4-x)[/latex]