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Beliebt Rechnen >

derivative 4/(cos(x))+1/(tan(x))

Lösung

ableitung von

\frac{4}{cos ( x )} + \frac{1}{tan ( x )}

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (\frac{4}{cos ( x )} + \frac{1}{tan ( x )})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{4}{cos ( x )}) + \frac{d}{d x} (\frac{1}{tan ( x )})

\frac{d}{d x} (\frac{4}{cos ( x )}) = 4 sec (x) tan (x)

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

= 4 sec (x) tan (x) - csc^{2} (x)

Graph

Beliebte Beispiele

y^'+175x=0,y(2)=0

y^{^{'}} + 175 x = 0, y (2) = 0

laplacetransform te^{-10t}

l a pl a ce t r an s f or m t e^{- 10 t}

integral of 1/(25e^{-2x)+e^{2x}}

\int \frac{1}{25 e ^{- 2 x} + e ^{2 x}} d x

integral of e^{xy^2}

\int e^{x y^{2}} d x

derivative y=(x-5)^2+8

d er i v a t i v e y = (x - 5)^{2} + 8