derivative of 2e^{x^2}

Lösung

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

4 e^{x^{2}} x

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

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

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

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

= 2 e^{x^{2}} \cdot 2 x

Vereinfache

= 4 e^{x^{2}} x

\frac{\partial}{\partial x} ((x + y) e^{x})

\int \frac{1}{P} d P

d er i v a t i v e f (t) = 0.1 (400 - 40 t + t^{2})

\frac{d}{d x} (x + 2 sin (x))

\int \frac{1}{cos ^{2} ( t ) \cdot 1 + tan ( t )} d t