derivative of-xcos(x-x)

Lösung

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

- cos (x) + x sin (x) - 1

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d x}{d x} = 1

= - (cos (x) - x sin (x)) - 1

Vereinfache

= - cos (x) + x sin (x) - 1

x \to 1 lim (\frac{0}{0})

d er i v a t i v e f (x) = x^{2} - 4 x + 3

\int 2 π x^{3} sin (x) d x

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

d er i v a t i v e f (x) = c cos (t) + t^{2} sin (t)