derivative f(x)=x^{11}e^x

Lösung

ableitung von

f (x) = x^{11} e^{x}

11 x^{10} e^{x} + e^{x} x^{11}

Schritte zur Lösung

\frac{d}{d x} (x^{11} e^{x})

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{11}, g = e^{x}

= \frac{d}{d x} (x^{11}) e^{x} + \frac{d}{d x} (e^{x}) x^{11}

\frac{d}{d x} (x^{11}) = 11 x^{10}

\frac{d}{d x} (e^{x}) = e^{x}

= 11 x^{10} e^{x} + e^{x} x^{11}

\frac{d}{d θ} (2 - sin (θ))

t a y l or x e^{- x + 1}, at 1

t an g e n t y = \frac{- 2 x}{x ^{2} + 1}, (- 1, 1)

x \to π lim (x^{2} cos (x))

n = 0 \sum \infty \frac{n}{2}