derivative of 1+2cos(x)

Lösung

\frac{d}{d x} (1 + 2 cos (x))

- 2 sin (x)

Schritte zur Lösung

\frac{d}{d x} (1 + 2 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (2 cos (x))

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

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

= 0 - 2 sin (x)

Vereinfache

= - 2 sin (x)

\frac{d}{d x} (e^{x^{2} - 4} + 3 x + 5)

x \to \frac{π}{4} lim (cot (x))

\int_{0}^{\frac{π}{2}} tan (x) d x

\int \frac{x ^{2} + 1}{( x - 10 ) ( x - 9 ) ^{2}} d x

t an g e n t f (x) = (8 - 9 x) (8 + 9 x), at x = 9