derivative y=sin(cos(tan(pix)))

Lösung

ableitung von

y = sin (cos (tan (π x)))

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

Schritte zur Lösung

\frac{d}{d x} (sin (cos (tan (π x))))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (tan (π x))) = - sin (tan (π x)) sec^{2} (π x) π

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

Vereinfache

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

\frac{d}{d x} (0.006 x^{3} + 0.07 x^{2} + 18 x + 600)

\frac{d y}{d x} = y (2 x - 5)

x \to 4 lim (\frac{x ^{2} - 8 x + 16}{x - 4})

d er i v a t i v e cos (5 x)

y^{^{'}} + 2 y = 6 e^{x}