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Beliebt Rechnen >

(sin(t)-tcos(t))^'

Lösung

(sin (t) - t cos (t))^{^{'}}

Lösung

t sin (t)

Schritte zur Lösung

(sin (t) - t cos (t))^{'}

Wende die Summen-/Differenzregel an:

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

= (sin (t))^{^{'}} - (t cos (t))^{^{'}}

(sin (t))^{'} = cos (t)

(t cos (t))^{'} = cos (t) - t sin (t)

= cos (t) - (cos (t) - t sin (t))

Vereinfache

= t sin (t)

Graph

Beliebte Beispiele

derivative of (4x/(x+5))

\frac{d}{d x} (\frac{4 x}{x + 5})

derivative of (1-3x^2(x^2-2)^3)

\frac{d}{d x} ((1 - 3 x)^{2} (x^{2} - 2)^{3})

(\partial)/(\partial y)(xy+x)

\frac{\partial}{\partial y} (x y + x)

\frac{d y}{d x} + y = 2

limit as x approaches-3 of [ 1/2 x^2+3]

x \to - 3 lim ([\frac{1}{2} x^{2} + 3])