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Beliebt Rechnen >

derivative sin(x)+4/5 cot(x)

Lösung

ableitung von

sin (x) + \frac{4}{5} cot (x)

Lösung

cos (x) - \frac{4}{5} csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + \frac{4}{5} cot (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{4}{5} cot (x))

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

\frac{d}{d x} (\frac{4}{5} cot (x)) = - \frac{4}{5} csc^{2} (x)

= cos (x) - \frac{4}{5} csc^{2} (x)

Graph

Beliebte Beispiele

tangent f(x)=3x^2-4x+1,\at x=2

t an g e n t f (x) = 3 x^{2} - 4 x + 1, at x = 2

integral of (2u^2-2u^{-1})

\int (2 u^{2} - 2 u^{- 1}) d u

3y^{''}+2y^'+y=0

3 y^{^{''}} + 2 y^{^{'}} + y = 0

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

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

derivative f(x)=4x^6-7x^5

d er i v a t i v e f (x) = 4 x^{6} - 7 x^{5}