What is the derivative of (3x^2)/4 ?

The derivative of (3x^2)/4 is (3x)/2

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

The first derivative of (3x^2)/4 is (3x)/2

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derivative of

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

\frac{3 x}{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= \frac{3 x}{2}

\frac{d}{d x} (2 + \frac{1}{x ^{2}})

\frac{\partial}{\partial x} (3 x^{2} + 2 y)

\int (cos^{2} (x)) d x

\int (2^{x}) d x

x \to 7 - lim (4 x)

What is the derivative of (3x^2)/4 ?
The derivative of (3x^2)/4 is (3x)/2
What is the first derivative of (3x^2)/4 ?
The first derivative of (3x^2)/4 is (3x)/2