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Beliebt Rechnen >

derivative cos(tan^3(x))

Lösung

ableitung von

cos (tan^{3} (x))

Lösung

- sin (tan^{3} (x)) \cdot 3 tan^{2} (x) sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (cos (tan^{3} (x)))

Wende die Kettenregel an:

- sin (tan^{3} (x)) \frac{d}{d x} (tan^{3} (x))

= - sin (tan^{3} (x)) \frac{d}{d x} (tan^{3} (x))

\frac{d}{d x} (tan^{3} (x)) = 3 tan^{2} (x) sec^{2} (x)

= - sin (tan^{3} (x)) \cdot 3 tan^{2} (x) sec^{2} (x)

Graph

Beliebte Beispiele

laplacetransform 10e^{-t/2}

l a pl a ce t r an s f or m 10 e^{- \frac{t}{2}}

integral of cos(x)5x)

\int cos (x) d (5 x) d x

inverselaplace {s/(s^2+2s-3)}

in v erse l a pl a ce {\frac{s}{s ^{2} + 2 s - 3}}

integral of ln(s)ecxtan(x)

\int ln (s) ec x tan (x) d x

tangent 10x^3-30x+120

t an g e n t 10 x^{3} - 30 x + 120