What is the first derivative of x^2x ?

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

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derivative of x^2x

derivative of

x^{2} x

3 x^{2}

Solution steps

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

Simplify

x^{2} x : x^{3}

= \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}

\frac{cot ( x )}{2}

(e^{x})^{- 1}

lo g_{10} (1) + x

lo g_{10} (1) - x

\frac{1}{lo g _{10} ( x )}