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Beliebt Rechnen >

derivative of-4/3 sin(x-5/3 cos(x))

Lösung

\frac{d}{d x} (- \frac{4}{3} sin (x) - \frac{5}{3} cos (x))

Lösung

- \frac{4}{3} cos (x) + \frac{5}{3} sin (x)

Schritte zur Lösung

\frac{d}{d x} (- \frac{4}{3} sin (x) - \frac{5}{3} cos (x))

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{4}{3} sin (x)) - \frac{d}{d x} (\frac{5}{3} cos (x))

\frac{d}{d x} (\frac{4}{3} sin (x)) = \frac{4}{3} cos (x)

\frac{d}{d x} (\frac{5}{3} cos (x)) = - \frac{5}{3} sin (x)

= - \frac{4}{3} cos (x) - (- \frac{5}{3} sin (x))

Vereinfache

= - \frac{4}{3} cos (x) + \frac{5}{3} sin (x)

Graph

Beliebte Beispiele

limit as x approaches+3 of x^2+4

x \to + 3 lim (x^{2} + 4)

(\partial)/(\partial x)((ax+by)/((cx+dy)))

\frac{\partial}{\partial x} (\frac{a x + b y}{( c x + d y )})

derivative of tan(arctan(x))

\frac{d}{d x} (tan (arctan (x)))

derivative of |x^2-9|

\frac{d}{d x} (x^{2} - 9)

derivative of sin(xln(4x))

\frac{d}{d x} (sin (x) ln (4 x))