What is the derivative of sqrt(x^3)+1/(sqrt(x)) ?

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

What is the first derivative of sqrt(x^3)+1/(sqrt(x)) ?

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

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\frac{d}{d x} (x^{3} + \frac{1}{x})

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

Solution steps

\frac{d}{d x} (x^{3} + \frac{1}{x})

Apply the Sum/Difference Rule:

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

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

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

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

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

\int_{0}^{\infty} 70 \frac{e ^{x}}{e ^{2 x} + 3} d x

7 e^{x} cos (x)

(8 + x) y^{^{'}} = 3 y

\int \frac{1}{5 x ^{5}} d x

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