derivative of a^2x+a^2y+b^2x+b^2y

Lösung

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

a^{2} + a^{2} \frac{d y}{d x} + b^{2} + b^{2} \frac{d y}{d x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

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

= a^{2} + a^{2} \frac{d y}{d x} + b^{2} + b^{2} \frac{d y}{d x}

\frac{d}{d x} (\frac{2}{3} (5 - 2 x^{2})^{3})

y = - 3 cot (2 x) sec (2 x)

\frac{\partial}{\partial t} (P e^{r t})

x \to - 0.01 lim (\frac{3 ^{x} - 1}{x})

y^{^{''}} + y^{^{'}} - 30 y = 0