derivative of (csc(x*tan(x))/(cos(x)))

Lösung

\frac{d}{d x} (\frac{csc ( x ) \cdot tan ( x )}{cos ( x )})

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

Schritte zur Lösung

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

Vereinfache

\frac{csc ( x ) tan ( x )}{cos ( x )} : sec^{2} (x)

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

Wende die Kettenregel an:

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

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

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

= 2 sec (x) sec (x) tan (x)

Vereinfache

2 sec (x) sec (x) tan (x) : 2 sec^{2} (x) tan (x)

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

x \to \frac{π}{2} + lim (\frac{9}{x} sec (x))

\int \frac{5 ^{x}}{1 + 5 ^{x}} d x

im pl i c i t \frac{d y}{d x}, 16 x^{2} - 16 x y + y^{2} = 1

x \to 0 lim (x^{2} \cdot ln (x))

\int_{1}^{2} \frac{1}{x ^{2}} d x