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

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

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

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

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

\frac{3 x}{2}

Solution steps

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

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}

\int (9 - y^{2})^{2} d y

x \to 0 lim (\frac{3 x ^{5} - 3 x ^{3} + 4 x}{x ^{3} + 6 x ^{2} - 2 x})

\int \frac{- 2 cos ( x )}{sin ^{2} ( x )} d x

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

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