What is the derivative of f(x)=x^{11} ?

The derivative of f(x)=x^{11} is 11x^{10}

What is the first derivative of f(x)=x^{11} ?

The first derivative of f(x)=x^{11} is 11x^{10}

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derivative of

f (x) = x^{11}

11 x^{10}

Solution steps

\frac{d}{d x} (x^{11})

Apply the Power Rule:

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

= 11 x^{11 - 1}

Simplify

= 11 x^{10}

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What is the derivative of f(x)=x^{11} ?
The derivative of f(x)=x^{11} is 11x^{10}
What is the first derivative of f(x)=x^{11} ?
The first derivative of f(x)=x^{11} is 11x^{10}