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Beliebt Rechnen >

derivative of cos^3(5x+1)

Lösung

\frac{d}{d x} (cos^{3} (5 x + 1))

Lösung

- 15 cos^{2} (5 x + 1) sin (5 x + 1)

Schritte zur Lösung

\frac{d}{d x} (cos^{3} (5 x + 1))

Wende die Kettenregel an:

3 (cos (5 x + 1))^{2} \frac{d}{d x} (cos (5 x + 1))

= 3 (cos (5 x + 1))^{2} \frac{d}{d x} (cos (5 x + 1))

\frac{d}{d x} (cos (5 x + 1)) = - sin (5 x + 1) \cdot 5

= 3 (cos (5 x + 1))^{2} (- sin (5 x + 1) \cdot 5)

Vereinfache

= - 15 cos^{2} (5 x + 1) sin (5 x + 1)

Graph

Beliebte Beispiele

y^{''}+4y=-6,y(pi/8)=-12,y^'(pi/8)=2

y^{^{''}} + 4 y = - 6, y (\frac{π}{8}) = - 12, y^{^{'}} (\frac{π}{8}) = 2

derivative of (x-1e^{-x})

\frac{d}{d x} ((x - 1) e^{- x})

derivative of e^{3xy}

\frac{d}{d x} (e^{3 x y})

(\partial)/(\partial x)(e^{-x}cos(y))

\frac{\partial}{\partial x} (e^{- x} cos (y))

s l o p e y = x^{3}