What is the derivative of sqrt(x^5) ?

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

What is the first derivative of sqrt(x^5) ?

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

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derivative of

x^{5}

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

Solution steps

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

Apply radical rule:

= \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}

sin (π \cdot x)

(10, 6), (1, - 8)

\frac{\partial}{\partial x} (y^{2} x)

\frac{\partial}{\partial x} (cos (y) - sin (x))

\int 2 (x - 3)^{3} d x

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