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Beliebt Rechnen >

derivative sin(x)+7/4 cot(x)

Lösung

ableitung von

sin (x) + \frac{7}{4} cot (x)

Lösung

cos (x) - \frac{7}{4} csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + \frac{7}{4} cot (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{7}{4} cot (x))

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

\frac{d}{d x} (\frac{7}{4} cot (x)) = - \frac{7}{4} csc^{2} (x)

= cos (x) - \frac{7}{4} csc^{2} (x)

Graph

Beliebte Beispiele

steigung (x^2)/(x+7)

s l o p e \frac{x ^{2}}{x + 7}

inverselaplace 1/(s^3+s^4)

in v erse l a pl a ce \frac{1}{s ^{3} + s ^{4}}

derivative of 5xtan(x)

\frac{d}{d x} (5 x tan (x))

y^'=t+ty^2,y(2)=0

y^{^{'}} = t + t y^{2}, y (2) = 0

derivative of (12/(x^3))

\frac{d}{d x} (\frac{12}{x ^{3}})