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Beliebt Rechnen >

derivative of-5csc(x+sec(x))

Lösung

\frac{d}{d x} (- 5 csc (x) + sec (x))

Lösung

5 cot (x) csc (x) + sec (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (- 5 csc (x) + sec (x))

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (5 csc (x)) + \frac{d}{d x} (sec (x))

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

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

= - (- 5 cot (x) csc (x)) + sec (x) tan (x)

Vereinfache

= 5 cot (x) csc (x) + sec (x) tan (x)

Graph

Beliebte Beispiele

derivative of-(12/((x+2)^2))

\frac{d}{d x} (- \frac{12}{( x + 2 ) ^{2}})

derivative 2/((x+2)^3)

d er i v a t i v e \frac{2}{( x + 2 ) ^{3}}

derivative f(x)=6^x

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

(\partial)/(\partial y)(x^3+y^3-3xy)

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

fläche f(x)=4-3x,g(x)=2x^2-x

a re a f (x) = 4 - 3 x, g (x) = 2 x^{2} - x