What is the derivative of f(x)=sqrt(x^3) ?

The derivative of f(x)=sqrt(x^3) is (3sqrt(x))/2

What is the first derivative of f(x)=sqrt(x^3) ?

The first derivative of f(x)=sqrt(x^3) is (3sqrt(x))/2

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derivative of

f (x) = x^{3}

\frac{3 x}{2}

Solution steps

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

Apply radical rule:

= \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}

e^{- x^{2}}

x e^{x}

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

f (x) = e^{x}

f (x) = x, at x = 1

What is the derivative of f(x)=sqrt(x^3) ?
The derivative of f(x)=sqrt(x^3) is (3sqrt(x))/2
What is the first derivative of f(x)=sqrt(x^3) ?
The first derivative of f(x)=sqrt(x^3) is (3sqrt(x))/2