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Beliebt Rechnen >

derivative of (x-pisin(x))

Lösung

\frac{d}{d x} ((x - π) sin (x))

Lösung

sin (x) + cos (x) (x - π)

Schritte zur Lösung

\frac{d}{d x} ((x - π) sin (x))

Wende die Produktregel an:

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

f = x - π, g = sin (x)

= \frac{d}{d x} (x - π) sin (x) + \frac{d}{d x} (sin (x)) (x - π)

\frac{d}{d x} (x - π) = 1

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

= 1 \cdot sin (x) + cos (x) (x - π)

Vereinfache

= sin (x) + cos (x) (x - π)

Graph

Beliebte Beispiele

derivative 1/(3x+4)

d er i v a t i v e \frac{1}{3 x + 4}

limit as x approaches 4 of-(3x)/7+8/7

x \to 4 lim (- \frac{3 x}{7} + \frac{8}{7})

derivative of (x^2-4^{2/3})

\frac{d}{d x} ((x^{2} - 4)^{\frac{2}{3}})

derivative sin(bx)

d er i v a t i v e sin (b x)

derivative 2x-1

d er i v a t i v e 2 x - 1