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Beliebt Rechnen >

derivative f(x)=sin(tan(9x))

Lösung

ableitung von

f (x) = sin (tan (9 x))

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Graph

Beliebte Beispiele

derivative x/((x-1)^2)

d er i v a t i v e \frac{x}{( x - 1 ) ^{2}}

integral of (x^2)/(5x^3+2)

\int \frac{x ^{2}}{5 x ^{3} + 2} d x

(x + 1) y^{^{'}} = x y

derivative of cos(x+cos(2x))

\frac{d}{d x} (cos (x) + cos (2 x))

fläche f(x)=x^2-2x+1,(1,4)

a re a f (x) = x^{2} - 2 x + 1, (1, 4)