What is the derivative of 2xsqrt(x)+1/(sqrt(x)) ?

The derivative of 2xsqrt(x)+1/(sqrt(x)) is 3sqrt(x)-1/(2x^{3/2)}

What is the first derivative of 2xsqrt(x)+1/(sqrt(x)) ?

The first derivative of 2xsqrt(x)+1/(sqrt(x)) is 3sqrt(x)-1/(2x^{3/2)}

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\frac{d}{d x} (2 x x + \frac{1}{x})

3 x - \frac{1}{2 x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (2 x x + \frac{1}{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x x) + \frac{d}{d x} (\frac{1}{x})

\frac{d}{d x} (2 x x) = 3 x

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{2 x ^{\frac{3}{2}}}

= 3 x - \frac{1}{2 x ^{\frac{3}{2}}}

\int x^{2} + 7 d x

y^{^{''}} = - 3 y - 2 y^{^{'}}, y (0) = 1, y^{^{'}} (0) = 0

\int \frac{4}{1 + x ^{2}} d x

3 y^{^{'}} - 2 y = e^{- \frac{π}{2}}

y = x^{2 c o s (x)}

What is the derivative of 2xsqrt(x)+1/(sqrt(x)) ?
The derivative of 2xsqrt(x)+1/(sqrt(x)) is 3sqrt(x)-1/(2x^{3/2)}
What is the first derivative of 2xsqrt(x)+1/(sqrt(x)) ?
The first derivative of 2xsqrt(x)+1/(sqrt(x)) is 3sqrt(x)-1/(2x^{3/2)}