What is (\partial)/(\partial x)(x^9) ?

The answer to (\partial)/(\partial x)(x^9) is 9x^8

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(\partial)/(\partial x)(x^9)

\frac{\partial}{\partial x} (x^{9})

9 x^{8}

Solution steps

\frac{\partial}{\partial x} (x^{9})

Apply the Power Rule:

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

= 9 x^{9 - 1}

Simplify

= 9 x^{8}

y = 4 x^{3}, (- 1, - 4)

x \to \frac{1}{2} lim (\frac{x + 1}{x + 5})

\frac{d y}{d x} = - \frac{3 y}{x} - 2 - x^{- 4}

\frac{1}{1 - x}, 3

\frac{d}{d x} (\frac{5}{1 - x})

What is (\partial)/(\partial x)(x^9) ?
The answer to (\partial)/(\partial x)(x^9) is 9x^8