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

The answer to (\partial)/(\partial x)(x^a) is ax^{a-1}

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(\partial)/(\partial x)(x^a)

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

a x^{a - 1}

Solution steps

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

Apply the Power Rule:

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

= a x^{a - 1}

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

d er i v a t i v e y = \frac{5 + sin ( x )}{5 x + cos ( x )}

t an g e n t f (x) = \frac{1}{4 + 3 x}, (2, \frac{1}{10})

d er i v a t i v e - 4 e^{t}

e^{x} y^{^{'}} = e^{- y} + e^{2 x - y}

What is (\partial)/(\partial x)(x^a) ?
The answer to (\partial)/(\partial x)(x^a) is ax^{a-1}