implicit (-8x)/y =0

Lösung

implizite ableitung

\frac{- 8 x}{y} = 0

\frac{d y}{d x} = \frac{y}{x}

Schritte zur Lösung

\frac{- 8 x}{y} = 0

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

- \frac{8 ( y - x \frac{d y}{d x} )}{y ^{2}} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = \frac{y}{x}

\frac{d y}{d x} = \frac{y}{x}

x \to 1 lim (x^{3} (5 - x))

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

n = 1 \sum \infty n (\frac{2}{3})^{n}

a re a y = sin (x), y = x, x = \frac{π}{2}, x = π

d er i v a t i v e 3 + 5 sin (x)