derivative y=cos(sqrt(sin(tan(7x))))

Lösung

ableitung von

y = cos (sin (tan (7 x)))

- \frac{7 sec ^{2} ( 7 x ) cos ( tan ( 7 x ) ) sin ( sin ( tan ( 7 x ) ) )}{2 sin ( tan ( 7 x ) )}

Schritte zur Lösung

\frac{d}{d x} (cos (sin (tan (7 x))))

Wende die Kettenregel an:

- sin (sin (tan (7 x))) \frac{d}{d x} (sin (tan (7 x)))

= - sin (sin (tan (7 x))) \frac{d}{d x} (sin (tan (7 x)))

\frac{d}{d x} (sin (tan (7 x))) = \frac{7 sec ^{2} ( 7 x ) cos ( tan ( 7 x ) )}{2 sin ( tan ( 7 x ) )}

= - sin (sin (tan (7 x))) \frac{7 sec ^{2} ( 7 x ) cos ( tan ( 7 x ) )}{2 sin ( tan ( 7 x ) )}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{7 sec ^{2} ( 7 x ) cos ( tan ( 7 x ) ) sin ( sin ( tan ( 7 x ) ) )}{2 sin ( tan ( 7 x ) )}

\int_{0}^{8} \frac{1}{( 8 - x )} d x

\int 2 e^{- 0.8 x} d x

x y^{^{'}} + 3 x - 2 y = 0

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

x \to 6 + lim (x^{3} + c x)