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

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

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

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

12 x^{3}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 12 x^{3}

y = 6 x^{2} - x^{3}

\frac{d y}{d x} = x + y - 1

\int (7 cos (x)) d x

x \to 0 lim (\frac{( x + 2 ) ^{3} - 8}{x})

\frac{\partial}{\partial x} (ln (1 + x^{2} + y^{2} + z^{2}))

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