What is the derivative of x^{25} ?

The derivative of x^{25} is 25x^{24}

What is the first derivative of x^{25} ?

The first derivative of x^{25} is 25x^{24}

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

25 x^{24}

Solution steps

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

Apply the Power Rule:

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

= 25 x^{25 - 1}

Simplify

= 25 x^{24}

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What is the derivative of x^{25} ?
The derivative of x^{25} is 25x^{24}
What is the first derivative of x^{25} ?
The first derivative of x^{25} is 25x^{24}