derivative of a+bcos(x+csin(x))

Lösung

\frac{d}{d x} (a + b cos (x) + cs in (x))

- b sin (x) + cs in

Schritte zur Lösung

\frac{d}{d x} (a + b cos (x) + cs in (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d a}{d x} + \frac{d}{d x} (b cos (x)) + \frac{d}{d x} (cs in x)

\frac{d a}{d x} = 0

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

\frac{d}{d x} (cs in x) = cs in

= 0 - b sin (x) + cs in

Vereinfache

= - b sin (x) + cs in

\frac{d}{d x} (\frac{9}{1 - x})

x \to 5 + lim (\frac{1}{x - 5})

\int sec^{4} (x) tan (x) d x

\frac{d}{d x} (- \frac{13 e ^{\frac{1}{x}}}{x ^{2}})

x \to 14 lim (x^{2} - 9)