(\partial)/(\partial x)((x^2-1)*(y+2))

Lösung

\frac{\partial}{\partial x} ((x^{2} - 1) \cdot (y + 2))

2 x (y + 2)

Schritte zur Lösung

\frac{\partial}{\partial x} ((x^{2} - 1) (y + 2))

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= (y + 2) \frac{\partial}{\partial x} (x^{2} - 1)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= (y + 2) (\frac{\partial}{\partial x} (x^{2}) - \frac{\partial}{\partial x} (1))

\frac{\partial}{\partial x} (x^{2}) = 2 x

\frac{\partial}{\partial x} (1) = 0

= (y + 2) (2 x - 0)

Vereinfache

= 2 x (y + 2)

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

y^{^{'}} = \frac{e ^{x - y}}{1 + e ^{x}}

t an g e n t y = x^{4} - 4 x^{3} + 2

\int \frac{- e ^{- s t}}{s} d t

\int ln (9 x) d x