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

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

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

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

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

3 x

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= 3 x

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