derivative of tan(sec(cos(x)))

Lösung

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

- sec^{2} (sec (cos (x))) sec (cos (x)) tan (cos (x)) sin (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

sec^{2} (sec (cos (x))) \frac{d}{d x} (sec (cos (x)))

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

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

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

Vereinfache

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

s l o p e y^{4} - 4 y^{2} = x^{4} - 9 x^{2}, (- 3, 2)

d er i v a t i v e (\frac{1}{y ^{2}} - \frac{3}{y ^{4}}) (y + 5 y^{3})

\frac{d y}{d x} = (e^{x - y})

\int_{2}^{x^{3}} t^{4} d t

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{2} t