What is (\partial)/(\partial x)(x^7) ?

The answer to (\partial)/(\partial x)(x^7) is 7x^6

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(\partial)/(\partial x)(x^7)

\frac{\partial}{\partial x} (x^{7})

7 x^{6}

Solution steps

\frac{\partial}{\partial x} (x^{7})

Apply the Power Rule:

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

= 7 x^{7 - 1}

Simplify

= 7 x^{6}

\frac{d}{d y} ((\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 9 y^{3}))

2 csc (1 - 3 x)

f (x) = (2 x + 3)^{5}, at x = - 1

\frac{d y}{d x} - 2 y = 0

What is (\partial)/(\partial x)(x^7) ?
The answer to (\partial)/(\partial x)(x^7) is 7x^6