What is the first derivative of x^3 ?

The first derivative of x^3 is 3x^2

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derivative of x^3

derivative of

x^{3}

3 x^{2}

Solution steps

\frac{d}{d 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}

f (x) = \frac{4 x ^{3} - 4}{x ^{3} - 8}

\frac{1}{x} \frac{d y}{d x} - ln (x) cot (y) = 0

\frac{d}{d x} ((x + 5) cos (x))

\int_{0}^{3} (\frac{1}{2} x - 1) d x

y ln (y) d x + x d y = 0