derivative sin(tan(x)+sec(x))

Lösung

ableitung von

sin (tan (x) + sec (x))

- \frac{cos ( tan ( x ) + sec ( x ) )}{- 1 + sin ( x )}

Schritte zur Lösung

\frac{d}{d x} (sin (tan (x) + sec (x)))

Wende die Kettenregel an:

cos (tan (x) + sec (x)) \frac{d}{d x} (tan (x) + sec (x))

= cos (tan (x) + sec (x)) \frac{d}{d x} (tan (x) + sec (x))

\frac{d}{d x} (tan (x) + sec (x)) = - \frac{1}{- 1 + sin ( x )}

= cos (tan (x) + sec (x)) (- \frac{1}{- 1 + sin ( x )})

Vereinfache

cos (tan (x) + sec (x)) (- \frac{1}{- 1 + sin ( x )}) : - \frac{cos ( tan ( x ) + sec ( x ) )}{- 1 + sin ( x )}

= - \frac{cos ( tan ( x ) + sec ( x ) )}{- 1 + sin ( x )}

\frac{d}{d x} (cos (5 x - \frac{π}{2}))

in v erse l a pl a ce \frac{s}{s ^{2} - s + 1}

in v erse l a pl a ce \frac{3}{s ( s + 3 )}

t an g e n t x^{2} + 3 x

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