What is (\partial)/(\partial x)(x^8) ?

The answer to (\partial)/(\partial x)(x^8) is 8x^7

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(\partial)/(\partial x)(x^8)

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

8 x^{7}

Solution steps

\frac{\partial}{\partial 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}

y = \frac{1}{2 + 3 x}, (2, \frac{1}{8})

\frac{d}{d x} (\frac{4}{x ^{2} + 1})

x \to 0 lim (\frac{1}{2 x} - \frac{1}{e ^{2 x} - 1})

\frac{\partial}{\partial x} (x^{2})

7 x - 2 x

What is (\partial)/(\partial x)(x^8) ?
The answer to (\partial)/(\partial x)(x^8) is 8x^7