What is the derivative of-7x^3 ?

The derivative of-7x^3 is -21x^2

What is the first derivative of-7x^3 ?

The first derivative of-7x^3 is -21x^2

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\frac{d}{d x} (- 7 x^{3})

- 21 x^{2}

Solution steps

\frac{d}{d x} (- 7 x^{3})

Take the constant out:

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

= - 7 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= - 7 \cdot 3 x^{3 - 1}

Simplify

= - 21 x^{2}

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

arctan (0)

x \to 1 lim (e^{x^{3} - x})

\frac{d}{d x} (\frac{3 x - 2}{x ^{2}})

\int (x^{5} - 9 + \frac{6}{x ^{7}}) d x