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Beliebt Rechnen >

derivative of xsinh(x-8cosh(x))

Lösung

\frac{d}{d x} (x sinh (x) - 8 cosh (x))

Lösung

x cosh (x) - 7 sinh (x)

Schritte zur Lösung

\frac{d}{d x} (x sinh (x) - 8 cosh (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x sinh (x)) - \frac{d}{d x} (8 cosh (x))

\frac{d}{d x} (x sinh (x)) = sinh (x) + x cosh (x)

\frac{d}{d x} (8 cosh (x)) = 8 sinh (x)

= sinh (x) + x cosh (x) - 8 sinh (x)

Vereinfache

= x cosh (x) - 7 sinh (x)

Graph

Beliebte Beispiele

limit as x approaches infinity of-5^x

x \to \infty lim (- 5^{x})

derivative sqrt(cos(8x))

d er i v a t i v e cos (8 x)

limit as x approaches a of e^{f(x)}

x \to a lim (e^{f (x)})

derivative y=sec^2(3x)

d er i v a t i v e y = sec^{2} (3 x)

integral of (x*cos(5x))

\int (x \cdot cos (5 x)) d x