derivative of x^2-3y^2

Lösung

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

2 x - 6 y \frac{d y}{d x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3 y^{2}) = 6 y \frac{d y}{d x}

= 2 x - 6 y \frac{d y}{d x}

n = 4 \sum \infty \frac{1}{n ^{2} - 5 n + 6}

x \to - 4 lim (- \frac{4}{x + 4})

\frac{d}{d x} (\frac{x}{3 x - 4 ln ( x )})

\frac{\partial}{\partial x} ((- 3 x y) 0)

\frac{d}{d t} (V (t))