What is the derivative of (87x^3)/(25) ?

The derivative of (87x^3)/(25) is (261x^2)/(25)

What is the first derivative of (87x^3)/(25) ?

The first derivative of (87x^3)/(25) is (261x^2)/(25)

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derivative of

\frac{87 x ^{3}}{25}

\frac{261 x ^{2}}{25}

Solution steps

\frac{d}{d x} (\frac{87 x ^{3}}{25})

Take the constant out:

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

= \frac{87}{25} \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= \frac{87}{25} \cdot 3 x^{3 - 1}

Simplify

\frac{87}{25} \cdot 3 x^{3 - 1} : \frac{261 x ^{2}}{25}

= \frac{261 x ^{2}}{25}

What is the derivative of (87x^3)/(25) ?
The derivative of (87x^3)/(25) is (261x^2)/(25)
What is the first derivative of (87x^3)/(25) ?
The first derivative of (87x^3)/(25) is (261x^2)/(25)