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Beliebt Rechnen >

derivative tan^6(x)

Lösung

ableitung von

tan^{6} (x)

Lösung

6 tan^{5} (x) sec^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (tan^{6} (x))

Wende die Kettenregel an:

6 (tan (x))^{5} \frac{d}{d x} (tan (x))

= 6 (tan (x))^{5} \frac{d}{d x} (tan (x))

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

= 6 (tan (x))^{5} sec^{2} (x)

Vereinfache

= 6 tan^{5} (x) sec^{2} (x)

Graph

Beliebte Beispiele

limit as h approaches 0 of cos(3/h)

h \to 0 lim (cos (\frac{3}{h}))

integral of 6θsec^2(θ)

\int 6 θ sec^{2} (θ) d θ

integral of t^6

\int t^{6} d t

f(x)=(sin(1/x)*x^3)/(ln(x))

f (x) = \frac{sin ( \frac{1}{x} ) \cdot x ^{3}}{ln ( x )}

d/(dt)(e^{-at})

\frac{d}{d t} (e^{- a t})