What is the derivative of f(x)=xx ?

The derivative of f(x)=xx is 2x

What is the first derivative of f(x)=xx ?

The first derivative of f(x)=xx is 2x

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derivative of

f (x) = xx

2 x

Solution steps

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

Simplify

xx : 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

d er i v a t i v e f (x) = x - 1

\frac{\partial}{\partial x} (sin (\frac{2 y}{x}))

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

\int_{0}^{H} (3 x - 4)^{23} d x

\int \frac{1}{sec ^{4} ( x )} d x