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Popular >

(d^2)/(dx^2)(x^x)

Solution

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

Solution

x^{x} (ln (x) + 1)^{2} + x^{x - 1}

Solution steps

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

\frac{d}{d x} (x^{x}) = x^{x} (ln (x) + 1)

= \frac{d}{d x} (x^{x} (ln (x) + 1))

\frac{d}{d x} (x^{x} (ln (x) + 1)) = x^{x} (ln (x) + 1)^{2} + x^{x - 1}

= x^{x} (ln (x) + 1)^{2} + x^{x - 1}

Popular Examples

integral of xln(2-x)

\int x ln (2 - x) d x

integral of 1/(3+sin^2(x))

\int \frac{1}{3 + sin ^{2} ( x )} d x

derivative of f(x)=7sin(x)+3cos(x)derivative of

f (x) = 7 sin (x) + 3 cos (x)

tangent of 1/(2sqrt(x))tangent of

\frac{1}{2 x}

derivative of arcsin(1-x^2)

\frac{d}{d x} (arcsin (1 - x^{2}))

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(x^x) ?
The answer to (d^2)/(dx^2)(x^x) is x^x(ln(x)+1)^2+x^{x-1}