What is (\partial)/(\partial x)(x^6) ?

The answer to (\partial)/(\partial x)(x^6) is 6x^5

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(\partial)/(\partial x)(x^6)

\frac{\partial}{\partial x} (x^{6})

6 x^{5}

Solution steps

\frac{\partial}{\partial x} (x^{6})

Apply the Power Rule:

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

= 6 x^{6 - 1}

Simplify

= 6 x^{5}

\int y e^{- \frac{y}{x}} d y

\int_{- \infty}^{0} \frac{1}{6 - 2 x} d x

\frac{d}{d x} (\frac{3}{1 - x ^{2}})

\frac{\partial}{\partial x} (\frac{M}{2 p x})

x \to 3 lim (3 x^{4} + 2 x^{2} - 5)

What is (\partial)/(\partial x)(x^6) ?
The answer to (\partial)/(\partial x)(x^6) is 6x^5