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Beliebt Rechnen >

derivative of tan(3x-x^2)

Lösung

\frac{d}{d x} (tan (3 x - x^{2}))

Lösung

sec^{2} (3 x - x^{2}) (3 - 2 x)

Schritte zur Lösung

\frac{d}{d x} (tan (3 x - x^{2}))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x - x^{2}) = 3 - 2 x

= sec^{2} (3 x - x^{2}) (3 - 2 x)

Graph

Beliebte Beispiele

(dy)/(dx)= 1/(xsin(y)+2sin(2y))

\frac{d y}{d x} = \frac{1}{x sin ( y ) + 2 sin ( 2 y )}

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

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

x^{2} y^{^{'}} + x y = 3 y^{3}

integral of 54sec^4(x)

\int 54 sec^{4} (x) d x

d er i v a t i v e 3 y