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

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

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

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

- 3 x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

= - 3 x^{3 - 1}

Simplify

= - 3 x^{2}

\frac{\partial}{\partial x} (- \frac{1}{2} x - 3 y + 1)

x \to 1 lim (3 + x^{2})

f (x) = \frac{1}{x ^{4}}

y d x = x d y

\int \frac{sin ( θ ) cos ( θ )}{1 + sin ^{2} ( θ )} d θ

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