What is the derivative of 4x^{3/2} ?

The derivative of 4x^{3/2} is 6x^{1/2}

What is the first derivative of 4x^{3/2} ?

The first derivative of 4x^{3/2} is 6x^{1/2}

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derivative of

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

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

Solution steps

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

Take the constant out:

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

= 4 \frac{d}{d x} (x^{\frac{3}{2}})

Apply the Power Rule:

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

= 4 \cdot \frac{3}{2} x^{\frac{3}{2} - 1}

Simplify

4 \cdot \frac{3}{2} x^{\frac{3}{2} - 1} : 6 x^{\frac{1}{2}}

= 6 x^{\frac{1}{2}}

\int \frac{x}{1 + x} d x

\int \frac{3 ( x + 5 )}{2 x + 15} d x

\int_{0}^{π} 6 sin (x) + sin (6 x) d x

x \to 4 + lim (\frac{6}{x - 4})

f (x) = x^{2} - 4 x - 5

What is the derivative of 4x^{3/2} ?
The derivative of 4x^{3/2} is 6x^{1/2}
What is the first derivative of 4x^{3/2} ?
The first derivative of 4x^{3/2} is 6x^{1/2}