What is the derivative of (x^3) ?

The derivative of (x^3) is 3x^2

What is the first derivative of (x^3) ?

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

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\frac{d}{d x} ((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}

\int_{1}^{2} 8 r^{4} ln (r) d r

y^{^{'''}} + y^{^{''}} - 2 = 0

\int \frac{x ^{2} + 2 x + 2}{x + 1} d x

\frac{d}{d x} (sec^{2} (\frac{x}{a}) + csc^{2} (\frac{x}{a}))

f (x) = x^{2} - 6, (2, - 2)