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Beliebt Rechnen >

derivative tan^9(x)

Lösung

ableitung von

tan^{9} (x)

Lösung

9 tan^{8} (x) sec^{2} (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

9 (tan (x))^{8} \frac{d}{d x} (tan (x))

= 9 (tan (x))^{8} \frac{d}{d x} (tan (x))

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

= 9 (tan (x))^{8} sec^{2} (x)

Vereinfache

= 9 tan^{8} (x) sec^{2} (x)

Graph

Beliebte Beispiele

limit as x approaches 2-of (x+1)/(4-x^2)

x \to 2 - lim (\frac{x + 1}{4 - x ^{2}})

integral of sqrt(3-t^2)

\int 3 - t^{2} d t

derivative f(t)=(2t+1)/(t+3)

d er i v a t i v e f (t) = \frac{2 t + 1}{t + 3}

integral of (x^2)/(sqrt(1-x^3))

\int \frac{x ^{2}}{1 - x ^{3}} d x

integral of 2/(sqrt(x^2+16))

\int \frac{2}{x ^{2} + 16} d x