What is the derivative of g(x)=x^{5/2} ?

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

What is the first derivative of g(x)=x^{5/2} ?

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

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derivative of

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

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

Solution steps

\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}

\int_{0}^{\infty} \frac{1}{4 + x ^{2}} d x

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\frac{d}{d x} (9 x^{2} cos (x) cot (x))

\int_{1}^{2} \frac{1}{3 - x} d x

\frac{d}{d x} (\frac{ln ( x )}{4 x ^{2}})

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