(\partial)/(\partial x)(sec(xy)+tan(xy))

Lösung

\frac{\partial}{\partial x} (sec (x y) + tan (x y))

sec (x y) tan (x y) y + sec^{2} (x y) y

Schritte zur Lösung

\frac{\partial}{\partial x} (sec (x y) + tan (x y))

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (sec (x y)) + \frac{\partial}{\partial x} (tan (x y))

\frac{\partial}{\partial x} (sec (x y)) = sec (x y) tan (x y) y

\frac{\partial}{\partial x} (tan (x y)) = sec^{2} (x y) y

= sec (x y) tan (x y) y + sec^{2} (x y) y

\int 3 x^{- 5} d x

\int (e^{x} + 2) d x

d er i v a t i v e f (x) = \frac{( 8 x + x ^{2} )}{( 4 + x ) ^{2}}

\int \frac{3 x}{3 x + 2} d x

x \to 3 lim (\frac{x ^{2} - 25}{x ^{2} + 11})