What is the derivative of y=x^8 ?

The derivative of y=x^8 is 8x^7

What is the first derivative of y=x^8 ?

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

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derivative of

y = 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 y} (x^{2} + 2 x y + y^{2})

\int x cos (\frac{nπ x}{l}) d x

\int (4 x + 2) ln (x + 1) d x

x \to 1 lim (1 - x^{2})

2^{x}, 0