derivative of e^{2xy}

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

d er i v a t i v e f (x) = x^{2} (1 - 4 x)

t an g e n t f (x) = x^{3} - 6 x^{2} - 34 x + 40, at x = - 3

\int_{0}^{7} x 49 - x^{2} d x

\int_{0}^{2} x (x^{2} - 1)^{3} d x

\frac{\partial}{\partial x} (x^{2} y + 4 x^{4} y)