What is the derivative of f(x)=x^7 ?

The derivative of f(x)=x^7 is 7x^6

What is the first derivative of f(x)=x^7 ?

The first derivative of f(x)=x^7 is 7x^6

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derivative

7 x^{6}

Solution steps

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

Apply the Power Rule:

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

= 7 x^{7 - 1}

Simplify

= 7 x^{6}

What is the derivative of f(x)=x^7 ?
The derivative of f(x)=x^7 is 7x^6
What is the first derivative of f(x)=x^7 ?
The first derivative of f(x)=x^7 is 7x^6