derivative y=cos^2(3x-1)

Lösung

ableitung von

y = cos^{2} (3 x - 1)

- 6 cos (3 x - 1) sin (3 x - 1)

Schritte zur Lösung

\frac{d}{d x} (cos^{2} (3 x - 1))

Wende die Kettenregel an:

2 cos (3 x - 1) \frac{d}{d x} (cos (3 x - 1))

= 2 cos (3 x - 1) \frac{d}{d x} (cos (3 x - 1))

\frac{d}{d x} (cos (3 x - 1)) = - sin (3 x - 1) \cdot 3

= 2 cos (3 x - 1) (- sin (3 x - 1) \cdot 3)

Vereinfache

= - 6 cos (3 x - 1) sin (3 x - 1)

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{2}}})

s l o p e (5.4) (7.7)

\int \frac{x ^{2}}{( 15 + 6 x - 9 x ^{2} ) ^{\frac{3}{2}}} d x

t an g e n t f (x) = x + 1, at x = 0

d er i v a t i v e f (x) = e^{x}