derivative of 1/2 sec(x-1/3 csc(x))

Lösung

\frac{d}{d x} (\frac{1}{2} sec (x) - \frac{1}{3} csc (x))

\frac{1}{2} sec (x) tan (x) + \frac{1}{3} cot (x) csc (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2} sec (x) - \frac{1}{3} csc (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{2} sec (x)) - \frac{d}{d x} (\frac{1}{3} csc (x))

\frac{d}{d x} (\frac{1}{2} sec (x)) = \frac{1}{2} sec (x) tan (x)

\frac{d}{d x} (\frac{1}{3} csc (x)) = - \frac{1}{3} cot (x) csc (x)

= \frac{1}{2} sec (x) tan (x) - (- \frac{1}{3} cot (x) csc (x))

Vereinfache

= \frac{1}{2} sec (x) tan (x) + \frac{1}{3} cot (x) csc (x)

\frac{d}{d x} (14 x)

x \to 3 lim (2 x^{3} - 4 x^{2} + x - 7)

\frac{\partial}{\partial x} (tan (3 x^{2} + 2 x))

\int 4 3 x - 8 d x

a re a y = e^{x}, y = 10 e^{- x} + 3, x = 0