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

y^{^{''}} - 7 y^{^{'}} + 6 y = - 4 e^{- 5 t}

\frac{∣ x ∣}{2 - x ^{2}}

\frac{d y}{d x} = \frac{( y ^{2} )}{2 x + 3}

\int (\frac{x + 2}{x}) d x

f (x) = 3 x + 4, at x = 7

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