What is the derivative of x^{3/2} ?

The derivative of x^{3/2} is (3x^{1/2})/2

What is the first derivative of x^{3/2} ?

The first derivative of x^{3/2} is (3x^{1/2})/2

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derivative of

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

\frac{3 x ^{\frac{1}{2}}}{2}

Solution steps

\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 ^{\frac{1}{2}}}{2}

= \frac{3 x ^{\frac{1}{2}}}{2}

x \to 3 - lim (\frac{9}{( x - 3 ) ^{5}})

\int (y - 1)^{- 2} d y

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

\frac{d}{d x} (\frac{2 x + 1}{3 - 5 x})

\int (1 - x)^{9} d x

What is the derivative of x^{3/2} ?
The derivative of x^{3/2} is (3x^{1/2})/2
What is the first derivative of x^{3/2} ?
The first derivative of x^{3/2} is (3x^{1/2})/2