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Beliebt Rechnen >

derivative y=cos(tan(x))

Lösung

ableitung von

y = cos (tan (x))

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

integral from 0 to pi of 3sin^3(x)

\int_{0}^{π} 3 sin^{3} (x) d x

derivative of (ln(x)^2cos(x))

\frac{d}{d x} ((ln (x))^{2} cos (x))

d/(dt)(e^{t^2})

\frac{d}{d t} (e^{t^{2}})

integral of ((7x^2+2x-7))/(x^3-x)

\int \frac{( 7 x ^{2} + 2 x - 7 )}{x ^{3} - x} d x

derivative (7x^2-14x+14)e^x

d er i v a t i v e (7 x^{2} - 14 x + 14) e^{x}