What is (\partial)/(\partial x)(4x^3) ?

The answer to (\partial)/(\partial x)(4x^3) is 12x^2

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(\partial)/(\partial x)(4x^3)

\frac{\partial}{\partial x} (4 x^{3})

12 x^{2}

Solution steps

\frac{\partial}{\partial x} (4 x^{3})

Take the constant out:

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

= 4 \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

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

= 4 \cdot 3 x^{3 - 1}

Simplify

= 12 x^{2}

f (x) = 8 x - x^{2}, at x = 1

\int (2 + 3 x^{2} - 8 x^{3}) d x

y^{^{''}} + 3 y^{^{'}} + 2 y = 15 + e x

\int x - x^{3} d x

\frac{d}{d x} (a c e^{- e^{c (b - x)} + c (b - x)})

What is (\partial)/(\partial x)(4x^3) ?
The answer to (\partial)/(\partial x)(4x^3) is 12x^2