implicit (dx)/(dy),y^2-x=0

Lösung

implizite ableitung

\frac{d x}{d y}, y^{2} - x = 0

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

Schritte zur Lösung

y^{2} - x = 0

Behandle

x

wie

x (y)

Beide Seiten differenzieren:

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

Isoliere

\frac{d x}{d y} : \frac{d x}{d y} = 2 y

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

t an g e n t f (x) = x^{4} + 8 x^{3} - 2 x - 2, at x = - 2

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

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

\frac{d}{d x} (\frac{1}{x ^{2} - 9})

\frac{d}{d x} (4 x^{5} - x^{3} - 2)