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Beliebt Rechnen >

derivative of 1-tan^2(x)

Lösung

\frac{d}{d x} (1 - tan^{2} (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (1 - tan^{2} (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (tan^{2} (x))

\frac{d}{d x} (1) = 0

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

= 0 - 2 tan (x) sec^{2} (x)

Vereinfache

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

Graph

Beliebte Beispiele

derivative of-sin(x/2)

\frac{d}{d x} (- sin (\frac{x}{2}))

(\partial)/(\partial y)(sqrt(x^2+2y^2))

\frac{\partial}{\partial y} (x^{2} + 2 y^{2})

\frac{d y}{d x} = 4 x - y

integral of (x^2-3x+1)/(x+1)

\int \frac{x ^{2} - 3 x + 1}{x + 1} d x

(\partial)/(\partial y)(3xe^{-2xy})

\frac{\partial}{\partial y} (3 x e^{- 2 x y})