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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\frac{d}{d x} (\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}

x \to 0 + lim (cot (4 x))

n = 1 \sum \infty \frac{1}{n ^{2} + n + 1}

10 (2 e^{x^{2}} x^{2} + e^{x^{2}})

n = 1 \sum \infty \frac{5 n}{n !}

\frac{d}{d x} ((\frac{x}{5} - \frac{5}{x})^{5})

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