What is the derivative of (x^7/(25)) ?

The derivative of (x^7/(25)) is (7x^6)/(25)

What is the first derivative of (x^7/(25)) ?

The first derivative of (x^7/(25)) is (7x^6)/(25)

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\frac{d}{d x} (\frac{x ^{7}}{25})

\frac{7 x ^{6}}{25}

Solution steps

\frac{d}{d x} (\frac{x ^{7}}{25})

Take the constant out:

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

= \frac{1}{25} \frac{d}{d x} (x^{7})

Apply the Power Rule:

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

= \frac{1}{25} \cdot 7 x^{7 - 1}

Simplify

\frac{1}{25} \cdot 7 x^{7 - 1} : \frac{7 x ^{6}}{25}

= \frac{7 x ^{6}}{25}

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What is the derivative of (x^7/(25)) ?
The derivative of (x^7/(25)) is (7x^6)/(25)
What is the first derivative of (x^7/(25)) ?
The first derivative of (x^7/(25)) is (7x^6)/(25)