implicit (dy)/(dx),x^8-y=0

Lösung

implizite ableitung

\frac{d y}{d x}, x^{8} - y = 0

\frac{d y}{d x} = 8 x^{7}

Schritte zur Lösung

x^{8} - y = 0

Behandle

y

wie

y (x)

Beide Seiten differenzieren:

8 x^{7} - \frac{d y}{d x} = 0

Isoliere

\frac{d y}{d x} : \frac{d y}{d x} = 8 x^{7}

\frac{d y}{d x} = 8 x^{7}

\int x sin (4 x) d x

\frac{\partial}{\partial x} ((\frac{y}{x}) \cdot ln (x))

x \to 0 lim (\frac{x}{x - 4})

y^{^{''}} + 4 y^{^{'}} + 13 y = 0, y (0) = 3, y^{^{'}} (0) = - 12

x \to 2 lim (x - 5)