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Beliebt Rechnen >

derivative of 1+3cos^2(x)

Lösung

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

Lösung

- 3 sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (3 cos^{2} (x)) = - 3 sin (2 x)

= 0 - 3 sin (2 x)

Vereinfache

= - 3 sin (2 x)

Graph

Beliebte Beispiele

integral of (2x-x^2-1)/(x^3+x)

\int \frac{2 x - x ^{2} - 1}{x ^{3} + x} d x

derivative of 7-5x

\frac{d}{d x} (7 - 5 x)

tangent y=arcsin(x/2),\at x=1

t an g e n t y = arcsin (\frac{x}{2}), at x = 1

limit as x approaches infinity of-(5)

x \to \infty lim (- (5))

3y^'+sqrt(x)y=5sqrt(x),y(9)=4

3 y^{^{'}} + x y = 5 x, y (9) = 4