derivative xcos(x)-sin(x)

Lösung

ableitung von

x cos (x) - sin (x)

- x sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

= - x sin (x)

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (8) = 8

\frac{d}{d x} ((x^{2} + x)^{3})

\frac{d}{d x} (\frac{1 + x ^{2}}{1 - x ^{2}})

\int_{1}^{2} \frac{11}{x ^{3} + 3 x} d x

\int \frac{1}{x ^{2} \cdot 9 + x ^{2}} d x