derivative of sec^2(pix)

Lösung

\frac{d}{d x} (sec^{2} (π x))

2 π sec^{2} (π x) tan (π x)

Schritte zur Lösung

\frac{d}{d x} (sec^{2} (π x))

Wende die Kettenregel an:

2 sec (π x) \frac{d}{d x} (sec (π x))

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

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

= 2 sec (π x) sec (π x) tan (π x) π

Vereinfache

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

= 2 π sec^{2} (π x) tan (π x)

\frac{d}{d x} (\frac{x ^{4}}{4 - x ^{3}})

d er i v a t i v e cos (x) - 4 tan (x)

\frac{\partial}{\partial x} (8 - x^{2} - 3 y^{2})

d er i v a t i v e (2 x^{3} + 4) (x^{4} - 4 x)

d er i v a t i v e \frac{6}{x ^{3}} - \frac{6}{x ^{2}} - \frac{1}{x} + 350