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Beliebt Rechnen >

derivative (x^x+1)^2

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

integral of x(18x+4)

\int x (18 x + 4) d x

limit as x approaches-5 of-x^2+2x-5

x \to - 5 lim (- x^{2} + 2 x - 5)

derivative of 49-x^2

\frac{d}{d x} (49 - x^{2})

derivative of (cos^2(x)^2)

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

integral of 1/(sqrt(64-x^2))

\int \frac{1}{64 - x ^{2}} d x