What is the derivative of 8x^{3/2} ?

The derivative of 8x^{3/2} is 12x^{1/2}

What is the first derivative of 8x^{3/2} ?

The first derivative of 8x^{3/2} is 12x^{1/2}

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derivative of

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

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

Solution steps

\frac{d}{d x} (8 x^{\frac{3}{2}})

Take the constant out:

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

= 8 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 8 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

8 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 12 x^{\frac{1}{2}}

= 12 x^{\frac{1}{2}}

x \to - 2 lim (2 x + 1)

(1, - 1), (6, - 1 \frac{1}{2})

\frac{\partial}{\partial x} (e^{- t} cos (π x))

\int tan (2 x) sec^{2} (2 x) d x

\int \frac{e ^{t}}{e ^{2 t} + 3 e ^{t} + 2} d t

What is the derivative of 8x^{3/2} ?
The derivative of 8x^{3/2} is 12x^{1/2}
What is the first derivative of 8x^{3/2} ?
The first derivative of 8x^{3/2} is 12x^{1/2}