derivative of 1-sin(xcos(x))

Lösung

\frac{d}{d x} (1 - sin (x) cos (x))

- cos (2 x)

Schritte zur Lösung

\frac{d}{d x} (1 - sin (x) cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (sin (x) cos (x))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (sin (x) cos (x)) = cos (2 x)

= 0 - cos (2 x)

Vereinfache

= - cos (2 x)

\int t csc^{2} (\frac{3 t ^{2}}{2}) d t

n = 4 \sum \infty \frac{1}{n ^{2}}

t an g e n t f (x) = \frac{6}{5 x + 2}, (- 1, - 2)

\int (\frac{sin ( 4 x )}{4}) - (\frac{sin ^{3} ( x )}{4}) d x

n = 0 \sum \infty n (n + 1) - 1