derivative of 9x^2+y^2

Lösung

\frac{d}{d x} (9 x^{2} + y^{2})

18 x + 2 y \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (9 x^{2} + y^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (y^{2})

\frac{d}{d x} (9 x^{2}) = 18 x

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

= 18 x + 2 y \frac{d y}{d x}

t an g e n t y = 5 x^{2}, (4, 80)

x \to - \infty lim (- ln (x))

\frac{d}{d x} (\frac{x}{x ^{2} + 1})

f^{^{'}} (x) = - 2 ln (x) + x^{2} - 4 + e^{x} + x^{e}

a re a f (x) = x^{2} - 6 x + 8, g (x) = - 2 x + 8