derivative of x^2e^y

Lösung

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

2 x e^{y} + e^{y} \frac{d y}{d x} x^{2}

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x^{2}, g = e^{y}

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

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

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

= 2 x e^{y} + e^{y} \frac{d y}{d x} x^{2}

d er i v a t i v e x - 4 3 x

\int s 4^{s} d s

\int_{0}^{\frac{π}{2}} (cos (x))^{2} d x

n = 1 \sum \infty 4^{\frac{1}{2 ^{n}}}

d er i v a t i v e y = (2^{x})^{8}