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

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

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

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

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derivative of

y = 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}

f = 3

f (x) = cos (x)

x^{2} + y^{2} = 4

f = 0

3 x - 5 y = 4

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