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Beliebt Rechnen >

derivative of xsinh(x)

Lösung

\frac{d}{d x} (x sinh (x))

Lösung

sinh (x) + x cosh (x)

Schritte zur Lösung

\frac{d}{d x} (x sinh (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sinh (x)

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

\frac{d x}{d x} = 1

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

= 1 \cdot sinh (x) + cosh (x) x

Vereinfache

= sinh (x) + x cosh (x)

Graph

Beliebte Beispiele

limit as x approaches 2+of (x^3-8)/(x-2)

x \to 2 + lim (\frac{x ^{3} - 8}{x - 2})

integral of arccot(11y)

\int arccot (11 y) d y

derivative of (x+4(e^2x))

\frac{d}{d x} ((x + 4) (e^{2} x))

tangent f(x)=(2x)/(x^2+1),\at x=1

t an g e n t f (x) = \frac{2 x}{x ^{2} + 1}, at x = 1

integral of 2x(x^2+5)^3

\int 2 x (x^{2} + 5)^{3} d x