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Beliebt Rechnen >

derivative of 3csc(x-5sec(x))

Lösung

\frac{d}{d x} (3 csc (x) - 5 sec (x))

Lösung

- 3 cot (x) csc (x) - 5 sec (x) tan (x)

Schritte zur Lösung

\frac{d}{d x} (3 csc (x) - 5 sec (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 csc (x)) - \frac{d}{d x} (5 sec (x))

\frac{d}{d x} (3 csc (x)) = - 3 cot (x) csc (x)

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

= - 3 cot (x) csc (x) - 5 sec (x) tan (x)

Graph

Beliebte Beispiele

limit as x approaches 0 of 2^{1/x}

x \to 0 lim (2^{\frac{1}{x}})

integral of-1/(x+8)+9/(x-4)

\int - \frac{1}{x + 8} + \frac{9}{x - 4} d x

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

derivative of x^{-5cos(x})

\frac{d}{d x} (x^{- 5 c o s (x)})

limit as x approaches 1 of 4x^2+2x+5

x \to 1 lim (4 x^{2} + 2 x + 5)