What is (\partial)/(\partial x)(arctan(a)x^3) ?

The answer to (\partial)/(\partial x)(arctan(a)x^3) is 3x^2arctan(a)

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(\partial)/(\partial x)(arctan(a)x^3)

\frac{\partial}{\partial x} (arctan (a) x^{3})

3 x^{2} arctan (a)

Solution steps

\frac{\partial}{\partial x} (arctan (a) x^{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= arctan (a) \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

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

= arctan (a) \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} arctan (a)

\int \frac{- t}{( t + 1 ) - t + 1} d t

\frac{d z}{d x}

\frac{d}{d x} (5 x + \frac{900}{x})

\int 36

\frac{d}{d x} (2 sin^{3} (5 x))

What is (\partial)/(\partial x)(arctan(a)x^3) ?
The answer to (\partial)/(\partial x)(arctan(a)x^3) is 3x^2arctan(a)