(\partial)/(\partial x)(4xy+6y^2)

Lösung

\frac{\partial}{\partial x} (4 x y + 6 y^{2})

4 y

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x y + 6 y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x y) + \frac{\partial}{\partial x} (6 y^{2})

\frac{\partial}{\partial x} (4 x y) = 4 y

\frac{\partial}{\partial x} (6 y^{2}) = 0

= 4 y + 0

Vereinfache

= 4 y

t an g e n t f (x) = (x - 1)^{3}, at x = 2

\int \frac{1}{x ( 2 a - x )} d x

\int_{1}^{l n (3)} \frac{1}{x} d x

\frac{d}{d x} (2 x^{3} - 4 x - 8 x + 6)

in v erse l a pl a ce \frac{1}{s ^{2}} (1 - e^{- 5 s})