What is the derivative of x^2*sqrt(x) ?

The derivative of x^2*sqrt(x) is (5x^{3/2})/2

What is the first derivative of x^2*sqrt(x) ?

The first derivative of x^2*sqrt(x) is (5x^{3/2})/2

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Popular >

\frac{d}{d x} (x^{2} \cdot x)

\frac{5 x ^{\frac{3}{2}}}{2}

Solution steps

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

Simplify

x^{2} x : x^{\frac{5}{2}}

= \frac{d}{d x} (x^{\frac{5}{2}})

Apply the Power Rule:

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

= \frac{5}{2} x^{\frac{5}{2} - 1}

Simplify

\frac{5}{2} x^{\frac{5}{2} - 1} : \frac{5 x ^{\frac{3}{2}}}{2}

= \frac{5 x ^{\frac{3}{2}}}{2}

\frac{s}{( s - 3 ) ( s - 6 ) ( s - 2 )}

\int_{0}^{0.4} \frac{( x ^{2} )}{4 - 25 x ^{2}} d x

\int (sin (x)) (cos (x)) d x

\frac{d}{d x} ((x^{5} - 9) x)

x = - 3, x = 1, y = x^{3} + 1, y = 0

What is the derivative of x^2*sqrt(x) ?
The derivative of x^2*sqrt(x) is (5x^{3/2})/2
What is the first derivative of x^2*sqrt(x) ?
The first derivative of x^2*sqrt(x) is (5x^{3/2})/2