What is the derivative of xsqrt(x) ?

The derivative of xsqrt(x) is (3sqrt(x))/2

What is the first derivative of xsqrt(x) ?

The first derivative of xsqrt(x) is (3sqrt(x))/2

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derivative of

x x

\frac{3 x}{2}

Solution steps

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

Simplify

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

= \frac{d}{d 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}

f (x) = e^{2 x}

x + x

f (x) = \frac{1}{x x}

f (x) = 2 x^{2} - 3 x

f (x) = x e^{- x}

What is the derivative of xsqrt(x) ?
The derivative of xsqrt(x) is (3sqrt(x))/2
What is the first derivative of xsqrt(x) ?
The first derivative of xsqrt(x) is (3sqrt(x))/2