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

User Samir Das
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1 Answer

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Using power rule alone, you have


(\mathrm d)/(\mathrm dx)\left[\frac2{\sqrt x}+\frac{\sqrt x}2\right]=(\mathrm d)/(\mathrm dx)\left[2x^(-1/2)+\frac12x^(1/2)\right]=-x^(-3/2)+\frac14x^(-1/2)=-\frac14x^(-3/2)(4-x)
User Tom Johnson
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