(\partial)/(\partial x)(3e^{-y}(x^2+y^2)+4)

Lösung

\frac{\partial}{\partial x} (3 e^{- y} (x^{2} + y^{2}) + 4)

6 e^{- y} x

Schritte zur Lösung

\frac{\partial}{\partial x} (3 e^{- y} (x^{2} + y^{2}) + 4)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (3 e^{- y} (x^{2} + y^{2})) + \frac{\partial}{\partial x} (4)

\frac{\partial}{\partial x} (3 e^{- y} (x^{2} + y^{2})) = 6 e^{- y} x

\frac{\partial}{\partial x} (4) = 0

= 6 e^{- y} x + 0

Vereinfache

= 6 e^{- y} x

d er i v a t i v e f (x) = \frac{cos ( x )}{1 + a sin ( x )}

d er i v a t i v e y = sin (ln (x))

\frac{d x}{d t} = cot (x) cos (t)

d er i v a t i v e (x + 1) e^{x}

x \to 0 lim (sin (x) ln (4 x))