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Beliebt Rechnen >

derivative tan^2(9x)

Lösung

ableitung von

tan^{2} (9 x)

Lösung

18 sec^{2} (9 x) tan (9 x)

Schritte zur Lösung

\frac{d}{d x} (tan^{2} (9 x))

Wende die Kettenregel an:

2 tan (9 x) \frac{d}{d x} (tan (9 x))

= 2 tan (9 x) \frac{d}{d x} (tan (9 x))

\frac{d}{d x} (tan (9 x)) = sec^{2} (9 x) \cdot 9

= 2 tan (9 x) sec^{2} (9 x) \cdot 9

Vereinfache

= 18 sec^{2} (9 x) tan (9 x)

Graph

Beliebte Beispiele

limit as x approaches 4 of sqrt(x^2-9)

x \to 4 lim (x^{2} - 9)

integral of-4x^{3/2}+3x^{2/3}-4x^2

\int - 4 x^{\frac{3}{2}} + 3 x^{\frac{2}{3}} - 4 x^{2} d x

derivative y=e^{-6x^5}

d er i v a t i v e y = e^{- 6 x^{5}}

integral of cot^6(x)csc^4(x)

\int cot^{6} (x) csc^{4} (x) d x

inverselaplace 1/((s+1)(s+2))

in v erse l a pl a ce \frac{1}{( s + 1 ) ( s + 2 )}