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

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

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derivative of (x(x))

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

2 x

Solution steps

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

Simplify

(x) (x) : x^{2}

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

Apply the Power Rule:

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

= 2 x^{2 - 1}

Simplify

= 2 x

(ln (x))^{n}

x^{2} + 2 x + x + 2

12 x^{- 6} + 7 x^{- 5} + x^{- 4}

\frac{d}{d x} (sin (x y))

\frac{d}{d r} ((S (r)) (k S (r)))