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Beliebt Rechnen >

d/(dθ)(1+cos(2θ))

Lösung

\frac{d}{d θ} (1 + cos (2 θ))

Lösung

- 2 sin (2 θ)

Schritte zur Lösung

\frac{d}{d θ} (1 + cos (2 θ))

Vereinfache

1 + cos (2 θ) : 2 cos^{2} (θ)

= \frac{d}{d θ} (2 cos^{2} (θ))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d θ} (cos^{2} (θ))

Wende die Kettenregel an:

2 cos (θ) \frac{d}{d θ} (cos (θ))

= 2 cos (θ) \frac{d}{d θ} (cos (θ))

\frac{d}{d θ} (cos (θ)) = - sin (θ)

= 2 \cdot 2 cos (θ) (- sin (θ))

Vereinfache

2 \cdot 2 cos (θ) (- sin (θ)) : - 2 sin (2 θ)

= - 2 sin (2 θ)

Graph

Beliebte Beispiele

limit as x approaches-1-of x/((x+1)^2)

x \to - 1 - lim (\frac{x}{( x + 1 ) ^{2}})

(2 cos (2 x))^{^{'}}

inverselaplace 3s+2

in v erse l a pl a ce 3 s + 2

limit as x approaches infinity of e^x-3

x \to \infty lim (e^{x} - 3)

derivative of ({z}(x)/x)

\frac{d}{d x} (\frac{z ( x )}{x})