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Beliebt Rechnen >

derivative sin^5(x)

Lösung

ableitung von

sin^{5} (x)

Lösung

5 sin^{4} (x) cos (x)

Schritte zur Lösung

\frac{d}{d x} (sin^{5} (x))

Wende die Kettenregel an:

5 (sin (x))^{4} \frac{d}{d x} (sin (x))

= 5 (sin (x))^{4} \frac{d}{d x} (sin (x))

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

= 5 (sin (x))^{4} cos (x)

Vereinfache

= 5 sin^{4} (x) cos (x)

Graph

Beliebte Beispiele

integral of (x+3)/(sqrt(4-(x-2)^2))

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

derivative 2^{90}

d er i v a t i v e 2^{90}

derivative f(x)=2x^2-7x+5

d er i v a t i v e f (x) = 2 x^{2} - 7 x + 5

derivative of-2xsin(2x)

\frac{d}{d x} (- 2 x sin (2 x))

derivative f(t)=cos(t)

d er i v a t i v e f (t) = cos (t)