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

The first derivative of 4x 3/2 is 6

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derivative of 4x 3/2

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

6

Solution steps

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

Simplify

4 x \frac{3}{2} : 6 x

= \frac{d}{d x} (6 x)

Take the constant out:

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

= 6 \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 6 \cdot 1

Simplify

= 6

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