derivative of 2x+2(cos(x+1)sin(x))

Lösung

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

2 + 2 (- sin^{2} (x) + cos (x) (cos (x) + 1))

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 + 2 (- sin^{2} (x) + cos (x) (cos (x) + 1))

\int sec^{6} (3 x) tan^{2} (3 x) d x

d er i v a t i v e f (x) = \frac{1 + 4 x}{9 - 6 x}

\int - x^{2} + 5 x d x

\frac{\partial}{\partial x} (\frac{3 y - 6 x}{y ^{2} + 7 x ^{2}})

\int 1 - 100 x^{2} d x