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

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

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

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

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

3 x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

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

= 3 x^{3}

\int \frac{2 x - 1}{x ^{2} - x - 12} d x

y^{^{''}} + 9 y = 5 e^{x} - 162 x

\int - \frac{x ^{3}}{3} - x^{2} + \frac{4}{3} d x

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

\frac{d y}{d x} = 7 x 5 y + 11, y (0) = 9

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