What is (\partial)/(\partial x)(xsqrt(x)) ?

The answer to (\partial)/(\partial x)(xsqrt(x)) is (3sqrt(x))/2

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(\partial)/(\partial x)(xsqrt(x))

\frac{\partial}{\partial x} (x x)

\frac{3 x}{2}

Solution steps

\frac{\partial}{\partial x} (x x)

Simplify

x x : x^{\frac{3}{2}}

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

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

= \frac{3 x}{2}

500 (1 + \frac{2 t}{40 + t ^{2}})

\int_{0}^{\frac{π}{2}} e^{x} cos (x) d x

(x^{2} - 1) \cdot e^{x}

f (x) = \frac{7}{x}, at x = 5

y^{^{'}} + e^{x} y = 0

What is (\partial)/(\partial x)(xsqrt(x)) ?
The answer to (\partial)/(\partial x)(xsqrt(x)) is (3sqrt(x))/2