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Beliebt Rechnen >

derivative of sec^2(3x)

Lösung

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

Lösung

6 sec^{2} (3 x) tan (3 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

2 sec (3 x) \frac{d}{d x} (sec (3 x))

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

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

= 2 sec (3 x) sec (3 x) tan (3 x) \cdot 3

Vereinfache

2 sec (3 x) sec (3 x) tan (3 x) \cdot 3 : 6 sec^{2} (3 x) tan (3 x)

= 6 sec^{2} (3 x) tan (3 x)

Graph

Beliebte Beispiele

y^{''}-2*y^'=sin(x)

y^{^{''}} - 2 \cdot y^{^{'}} = sin (x)

integral from 0 to 24 of sqrt(9+3x)

\int_{0}^{24} 9 + 3 x d x

(d^2)/(dx^2)((x^2+6)^9)

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 6)^{9})

derivative of (x-1^n)

\frac{d}{d x} ((x - 1)^{n})

fläche y=9-2x,y=x^2-39

a re a y = 9 - 2 x, y = x^{2} - 39