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Beliebt Rechnen >

derivative-sin(x)-2sec^2(x)tan(x)

Lösung

ableitung von

- sin (x) - 2 sec^{2} (x) tan (x)

Lösung

- cos (x) + 4 sec^{2} (x) - 6 sec^{4} (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (2 sec^{2} (x) tan (x)) = - 4 sec^{2} (x) + 6 sec^{4} (x)

= - cos (x) - (- 4 sec^{2} (x) + 6 sec^{4} (x))

Vereinfache

= - cos (x) + 4 sec^{2} (x) - 6 sec^{4} (x)

Graph

Beliebte Beispiele

integral of 1/(7x^5)

\int \frac{1}{7 x ^{5}} d x

y^'+2xy=xe^{-x^2},y(0)=1

y^{^{'}} + 2 x y = x e^{- x^{2}}, y (0) = 1

integral of 1/(sqrt(9x^2+1))

\int \frac{1}{9 x ^{2} + 1} d x

derivative of (10x/(1-x))

\frac{d}{d x} (\frac{10 x}{1 - x})

integral of 3/(1+3x)

\int \frac{3}{1 + 3 x} d x