derivative of e^{4xy}

Lösung

\frac{d}{d x} (e^{4 x y})

e^{4 x y} \cdot 4 (y + x \frac{d y}{d x})

Schritte zur Lösung

\frac{d}{d x} (e^{4 x y})

Wende die Kettenregel an:

e^{4 x y} \frac{d}{d x} (4 x y)

= e^{4 x y} \frac{d}{d x} (4 x y)

\frac{d}{d x} (4 x y) = 4 (y + x \frac{d y}{d x})

= e^{4 x y} \cdot 4 (y + x \frac{d y}{d x})

\int cos^{3} (5 x) sin^{- 2} (5 x) d x

\int 2 e^{- 3 x} d x

x \to 0 lim (cos^{\frac{1}{x}} (x))

sin^{2} (y) d x + cos^{2} (x) d y = 0

x \to - 5 lim (2 x + 3)