implicit (dy)/(dx),-x/y =0

Lösung

implizite ableitung

\frac{d y}{d x}, - \frac{x}{y} = 0

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

Schritte zur Lösung

- \frac{x}{y} = 0

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

- \frac{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}

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

\int (sec (3 x) + csc (3 x))^{2} d x

\int \frac{x ^{2} - 4}{x ^{3} - 3 x ^{2} - x + 3} d x

\int \frac{x}{3 x ^{2} + 9} d x

d er i v a t i v e (4 - t) (4 + t^{3})^{- 1}