(\partial)/(\partial x)(-sin(x)-sin(2y))

Lösung

\frac{\partial}{\partial x} (- sin (x) - sin (2 y))

- cos (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (- sin (x) - sin (2 y))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= - \frac{\partial}{\partial x} (sin (x)) - \frac{\partial}{\partial x} (sin (2 y))

\frac{\partial}{\partial x} (sin (x)) = cos (x)

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

= - cos (x) - 0

Vereinfache

= - cos (x)

d er i v a t i v e f (x) = \frac{x ^{2}}{7 + x}

x y^{^{'}} - 2 y = 2 y x^{2}

x \to 0 lim (x \cdot cot (2 x))

s l o p e y = x^{2} - 2 x - 3, (2, - 3)

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