What is the derivative of 16x^{3/2} ?

The derivative of 16x^{3/2} is 24x^{1/2}

What is the first derivative of 16x^{3/2} ?

The first derivative of 16x^{3/2} is 24x^{1/2}

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\frac{d}{d x} (16 x^{\frac{3}{2}})

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

Solution steps

\frac{d}{d x} (16 x^{\frac{3}{2}})

Take the constant out:

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

= 16 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 16 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

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

= 24 x^{\frac{1}{2}}

\frac{d}{d x} (2 x^{\frac{3}{4}} + 4 x^{- \frac{1}{4}})

\frac{3 x}{x ^{2} - 6} (3.3)

\int \frac{1}{2 - x} d x

y^{2} = \frac{1}{8} x, y = 8 x^{2}

f (x) = - x^{3} - 5 x^{2} + 2, at x = - 1

What is the derivative of 16x^{3/2} ?
The derivative of 16x^{3/2} is 24x^{1/2}
What is the first derivative of 16x^{3/2} ?
The first derivative of 16x^{3/2} is 24x^{1/2}