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Beliebt Rechnen >

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

Lösung

ableitung von

f (x) = (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

derivative of (2x-1(x^2-6x+3))

\frac{d}{d x} ((2 x - 1) (x^{2} - 6 x + 3))

(dy)/(dt)= 1/(1+y)

\frac{d y}{d t} = \frac{1}{1 + y}

integral of sqrt(1+sin(2x))

\int 1 + sin (2 x) d x

tangent f(x)=x^2,\at x=7

t an g e n t f (x) = x^{2}, at x = 7

limit as h approaches 6 of (4h)/(h-6)

h \to 6 lim (\frac{4 h}{h - 6})