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Beliebt Rechnen >

derivative y=(x^x+1)^2

Lösung

ableitung von

y = (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 3x^2(x^3+5)^7

\int 3 x^{2} (x^{3} + 5)^{7} d x

integral of (x-5)/((x+4)(x+3)^2)

\int \frac{x - 5}{( x + 4 ) ( x + 3 ) ^{2}} d x

integral from 0 to 1 of (3x+1)^5

\int_{0}^{1} (3 x + 1)^{5} d x

derivative x^2cos(2x)

d er i v a t i v e x^{2} cos (2 x)

tangent e^x(-8-3x+2x^2)

t an g e n t e^{x} (- 8 - 3 x + 2 x^{2})