What is the derivative of 24x^{3/2} ?

The derivative of 24x^{3/2} is 36x^{1/2}

What is the first derivative of 24x^{3/2} ?

The first derivative of 24x^{3/2} is 36x^{1/2}

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\frac{d}{d x} (24 x^{\frac{3}{2}})

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

Solution steps

\frac{d}{d x} (24 x^{\frac{3}{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 24 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 24 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

24 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 36 x^{\frac{1}{2}}

= 36 x^{\frac{1}{2}}

s im pl i f y \frac{2 x}{x ^{2} + 1}

f (x) = x 2

\int \frac{( ln ( z ) ) ^{6}}{z} d z

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

\frac{\partial}{\partial x} ((4 x^{3} y^{4} + 9)^{2})

What is the derivative of 24x^{3/2} ?
The derivative of 24x^{3/2} is 36x^{1/2}
What is the first derivative of 24x^{3/2} ?
The first derivative of 24x^{3/2} is 36x^{1/2}