implicit (dy)/(dx),y=x^2+4

Lösung

implizite ableitung

\frac{d y}{d x}, y = x^{2} + 4

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

Schritte zur Lösung

y = x^{2} + 4

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

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

Isoliere

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

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

\frac{d}{d t} (e^{t} sin (2 t))

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

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

4 x^{2} \frac{d y}{d x} = \frac{d y}{d x} + 4 x e^{- y}

\int_{0}^{1} π (y - y^{4}) d y