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Beliebt Rechnen >

derivative f(x)=-5cot(x)+3sec(x)

Lösung

ableitung von

f (x) = - 5 cot (x) + 3 sec (x)

Lösung

5 csc^{2} (x) + 3 sec (x) tan (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (3 sec (x)) = 3 sec (x) tan (x)

= - (- 5 csc^{2} (x)) + 3 sec (x) tan (x)

Vereinfache

= 5 csc^{2} (x) + 3 sec (x) tan (x)

Graph

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(sin (ln (x)))^{^{'}}

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x \to - 1 lim (x^{2})

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\int (9 x + cos (x)) d x