derivative of sqrt(y-x)

Lösung

\frac{d}{d x} (y - x)

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

Schritte zur Lösung

\frac{d}{d x} (y - x)

Wende die Kettenregel an:

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

= \frac{1}{2 y - x} \frac{d}{d x} (y - x)

\frac{d}{d x} (y - x) = \frac{d y}{d x} - 1

= \frac{1}{2 y - x} (\frac{d y}{d x} - 1)

Vereinfache

\frac{1}{2 y - x} (\frac{d y}{d x} - 1) : \frac{\frac{d y}{d x} - 1}{2 y - x}

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

x \to 1 lim (\frac{x ^{2}}{x ^{3} - x})

\frac{d}{d x} (cos (x) tan (x))

t an g e n t f (x) = \frac{x}{1 + x ^{2}}, (2, \frac{2}{5})

d er i v a t i v e \frac{1}{6} y^{3} + \frac{1}{2 y}

n = 1 \sum \infty \frac{n}{4 n + 1}