derivative of-xsin(x+cos(x))

Lösung

\frac{d}{d x} (- x sin (x) + cos (x))

- x cos (x) - 2 sin (x)

Schritte zur Lösung

\frac{d}{d x} (- x sin (x) + cos (x))

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (x sin (x)) + \frac{d}{d x} (cos (x))

\frac{d}{d x} (x sin (x)) = sin (x) + x cos (x)

\frac{d}{d x} (cos (x)) = - sin (x)

= - (sin (x) + x cos (x)) - sin (x)

Vereinfache

= - x cos (x) - 2 sin (x)

\int \frac{1}{3 + cos ( x )} d x

\int_{- π}^{π} ∣ sin (x) ∣ d x

y^{^{'}} = (3 x - 2) (30 x + 19)

\frac{\partial}{\partial x} (400 \cdot sin (x) \cdot cos (x))

\frac{\partial}{\partial x} (y^{2} e^{x y^{2} + z^{2}})