derivative of 4sec(x-8cos(x))

Lösung

\frac{d}{d x} (4 sec (x) - 8 cos (x))

4 sec (x) tan (x) + 8 sin (x)

Schritte zur Lösung

\frac{d}{d x} (4 sec (x) - 8 cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 sec (x)) - \frac{d}{d x} (8 cos (x))

\frac{d}{d x} (4 sec (x)) = 4 sec (x) tan (x)

\frac{d}{d x} (8 cos (x)) = - 8 sin (x)

= 4 sec (x) tan (x) - (- 8 sin (x))

Vereinfache

= 4 sec (x) tan (x) + 8 sin (x)

a re a y = x^{3}, y = x, x \geq 0

\int_{0}^{1} x^{9} e^{x^{5}} d x

x \to 0 lim (\frac{( ln ( cos ( 2 x ) ) )}{x ^{2}})

x^{2} y^{^{''}} + 9 x y^{^{'}} - 20 y = \frac{5}{x ^{3}}

d er i v a t i v e f (x) = csc (x) (x + cot (x))