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Beliebt Rechnen >

f^'(x)=sec(2x)tan(2x)

Lösung

f^{^{'}} (x) = sec (2 x) tan (2 x)

Lösung

f (x) = \frac{1}{2} cos (2 x) + \frac{1}{2} sin (2 x) tan (2 x) + c_{1}

Schritte zur Lösung

f^{'} (x) = sec (2 x) tan (2 x)

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) = \int sec (2 x) tan (2 x) d x

\int sec (2 x) tan (2 x) d x = \frac{1}{2} cos (2 x) + \frac{1}{2} sin (2 x) tan (2 x) + c_{1}

f (x) = \frac{1}{2} cos (2 x) + \frac{1}{2} sin (2 x) tan (2 x) + c_{1}

Graph

Beliebte Beispiele

(dy)/(dx)=2y(3-x)

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

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

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

derivative f(x)=12

d er i v a t i v e f (x) = 12

derivative f(x)=3-(18)/(5x^{1/10)}

d er i v a t i v e f (x) = 3 - \frac{18}{5 x ^{\frac{1}{10}}}

derivative g(u)=sqrt(6u)+sqrt(5u)

d er i v a t i v e g (u) = 6 u + 5 u