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Beliebt Rechnen >

(\partial)/(\partial x)(sin^9(x))

Lösung

\frac{\partial}{\partial x} (sin^{9} (x))

Lösung

9 sin^{8} (x) cos (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (sin^{9} (x))

Wende die Kettenregel an:

9 (sin (x))^{8} \frac{\partial}{\partial x} (sin (x))

= 9 (sin (x))^{8} \frac{\partial}{\partial x} (sin (x))

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

= 9 (sin (x))^{8} cos (x)

Vereinfache

= 9 sin^{8} (x) cos (x)

Beliebte Beispiele

(\partial)/(\partial y)(y*cos(y-2x))

\frac{\partial}{\partial y} (y \cdot cos (y - 2 x))

derivative f(x)=x^2-x+1

d er i v a t i v e f (x) = x^{2} - x + 1

limit as x approaches 0 of x^3

x \to 0 lim (x^{3})

derivative of (3x^2+3x-1^4)

\frac{d}{d x} ((3 x^{2} + 3 x - 1)^{4})

8y^{''}-2y^'-y=4+5sin(2t)

8 y^{^{''}} - 2 y^{^{'}} - y = 4 + 5 sin (2 t)