implicit (dy)/(dx),y=x+1/x

Lösung

implizite ableitung

\frac{d y}{d x}, y = x + \frac{1}{x}

\frac{d y}{d x} = 1 - \frac{1}{x ^{2}}

Schritte zur Lösung

y = x + \frac{1}{x}

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

\frac{d y}{d x} = 1 - \frac{1}{x ^{2}}

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = 1 - \frac{1}{x ^{2}}

\frac{d y}{d x} = 1 - \frac{1}{x ^{2}}

\frac{d}{d x} (\frac{3 x ^{2} - 1}{2 x + 5})

n = 0 \sum \infty 6 (\frac{4}{5})^{n}

\int \frac{tan ( ln ( 4 x + 2 ) )}{4 x + 2} d x

d er i v a t i v e (5 x + 3) x^{2}

n = 0 \sum \infty (\frac{2}{3}) (\frac{5}{4})^{n}