derivative of x^2+e^{2xy}

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

s l o p e (- 1, 0), (1, 2)

\int sec^{2} (x) e^{t a n (x)} d x

d er i v a t i v e f (x) = x^{π}

x \to - 6 - lim (\frac{x}{2 x - 12})

d er i v a t i v e y = \frac{8 x ^{w (y, x)} - 5}{3 x ^{3} + 7}