What is (\partial)/(\partial x)(2x^4) ?

The answer to (\partial)/(\partial x)(2x^4) is 8x^3

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(\partial)/(\partial x)(2x^4)

\frac{\partial}{\partial x} (2 x^{4})

8 x^{3}

Solution steps

\frac{\partial}{\partial x} (2 x^{4})

Take the constant out:

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

= 2 \frac{\partial}{\partial x} (x^{4})

Apply the Power Rule:

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

= 2 \cdot 4 x^{4 - 1}

Simplify

= 8 x^{3}

\frac{\partial}{\partial x} (12 x + 6 y - x^{2} + x y - y^{2})

7 x - 6

\frac{\partial}{\partial x} (\frac{x y}{z})

\frac{d}{d x} (7 + x sec (x))

\int x e^{- x} d x

What is (\partial)/(\partial x)(2x^4) ?
The answer to (\partial)/(\partial x)(2x^4) is 8x^3