What is the derivative of y=x^n ?

The derivative of y=x^n is nx^{n-1}

What is the first derivative of y=x^n ?

The first derivative of y=x^n is nx^{n-1}

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derivative of

y = x^{n}

n x^{n - 1}

Solution steps

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

Apply the Power Rule:

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

= n x^{n - 1}

What is the derivative of y=x^n ?
The derivative of y=x^n is nx^{n-1}
What is the first derivative of y=x^n ?
The first derivative of y=x^n is nx^{n-1}