derivative of e^{2x+3y}

Lösung

\frac{d}{d x} (e^{2 x + 3 y})

e^{2 x + 3 y} (2 + 3 \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} (e^{2 x + 3 y})

Wende die Kettenregel an:

e^{2 x + 3 y} \frac{d}{d x} (2 x + 3 y)

= e^{2 x + 3 y} \frac{d}{d x} (2 x + 3 y)

\frac{d}{d x} (2 x + 3 y) = 2 + 3 \frac{d y}{d x}

= e^{2 x + 3 y} (2 + 3 \frac{d y}{d x})

im pl i c i t \frac{d y}{d x}, y = 5^{x}

\frac{d}{d x} (16 x^{2} + 9)

\int_{- 1}^{1} 1.5 x^{3} d x

d er i v a t i v e f (x) = (x^{2} - 5 x + 2) (x - \frac{2}{x})

\int_{0}^{0.6} 3000 x d x