What is the derivative of (3x/2) ?

The derivative of (3x/2) is 3/2

What is the first derivative of (3x/2) ?

The first derivative of (3x/2) is 3/2

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

\frac{3}{2}

Decimal

1.5

Solution steps

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

Take the constant out:

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

= \frac{3}{2} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{3}{2} \cdot 1

Simplify

= \frac{3}{2}