derivative tan(x)-1sec(x)

Lösung

ableitung von

tan (x) - 1 sec (x)

\frac{1}{1 + sin ( x )}

Schritte zur Lösung

\frac{d}{d x} (tan (x) - 1 \cdot sec (x))

Vereinfache

tan (x) - 1 \cdot sec (x) : tan (x) - sec (x)

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= sec^{2} (x) - sec (x) tan (x)

Vereinfache

sec^{2} (x) - sec (x) tan (x) : \frac{1}{1 + sin ( x )}

= \frac{1}{1 + sin ( x )}

\int y^{2} + 1 d y

t an g e n t y = sin (sin (x)), at x = π

\int (10 x) d x

n or ma l y = x, (9, 3)

d er i v a t i v e \frac{sin ( x ) + cos ( x )}{cos ( x )}