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Beliebt Rechnen >

derivative sin(tan(3x))

Lösung

ableitung von

sin (tan (3 x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (sin (tan (3 x)))

Wende die Kettenregel an:

cos (tan (3 x)) \frac{d}{d x} (tan (3 x))

= cos (tan (3 x)) \frac{d}{d x} (tan (3 x))

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

= cos (tan (3 x)) sec^{2} (3 x) \cdot 3

Graph

Beliebte Beispiele

derivative log_{4}(e^{2x}cos(3x))

d er i v a t i v e lo g_{4} (e^{2 x} cos (3 x))

tangent (30x^2)/((-5x^3+4)^3)

t an g e n t \frac{30 x ^{2}}{( - 5 x ^{3} + 4 ) ^{3}}

steigung x^2+xy-y^2=-11,(1,4)

s l o p e x^{2} + x y - y^{2} = - 11, (1, 4)

t^2y^{''}+3ty^'-3y= 1/t

t^{2} y^{^{''}} + 3 t y^{^{'}} - 3 y = \frac{1}{t}

derivative 2/(x-3)

d er i v a t i v e \frac{2}{x - 3}