What is the derivative of (5x^3)/4 ?

The derivative of (5x^3)/4 is (15x^2)/4

What is the first derivative of (5x^3)/4 ?

The first derivative of (5x^3)/4 is (15x^2)/4

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derivative of

\frac{5 x ^{3}}{4}

\frac{15 x ^{2}}{4}

Solution steps

\frac{d}{d x} (\frac{5 x ^{3}}{4})

Take the constant out:

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

= \frac{5}{4} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{5}{4} \cdot 3 x^{3 - 1}

Simplify

\frac{5}{4} \cdot 3 x^{3 - 1} : \frac{15 x ^{2}}{4}

= \frac{15 x ^{2}}{4}

100 q + 5 q^{2}

\frac{d}{d x} (3 x^{2} - (k + 2) x + k - 1)

y = - 50

x^{\frac{- 1}{3}}

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

What is the derivative of (5x^3)/4 ?
The derivative of (5x^3)/4 is (15x^2)/4
What is the first derivative of (5x^3)/4 ?
The first derivative of (5x^3)/4 is (15x^2)/4