What is the first derivative of x^8 ?

The first derivative of x^8 is 8x^7

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derivative of x^8

derivative of

x^{8}

8 x^{7}

Solution steps

\frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= 8 x^{8 - 1}

Simplify

= 8 x^{7}

\frac{d}{d x} (x (x - 2)^{2})

\frac{1}{s ^{2} + 4 s + 20}

y^{^{'}} = 1 0^{- 21} \cdot y^{3}

\int_{- 1}^{0} \frac{x ^{3}}{x ^{2} - 2 x + 1} d x

\int \frac{1}{( 6 - y ^{2} ) ^{\frac{3}{2}}} d y