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Beliebt Rechnen >

derivative of 2cos(x+(cos(x))^2)

Lösung

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

Lösung

- 2 sin (x) - sin (2 x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - 2 sin (x) - sin (2 x)

Graph

Beliebte Beispiele

y^'=(y^4x^4+4x^4)/(y^3)

y^{^{'}} = \frac{y ^{4} x ^{4} + 4 x ^{4}}{y ^{3}}

integral of (x+7)/(x^2(x+2))

\int \frac{x + 7}{x ^{2} ( x + 2 )} d x

derivative of (cos(x2x^3)/(e^x))

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

limit as x approaches+1/5 of 2+|5x-1|

x \to + \frac{1}{5} lim (2 + ∣ 5 x - 1 ∣)

d/(dy)((y^3)/3+1/(4y))

\frac{d}{d y} (\frac{y ^{3}}{3} + \frac{1}{4 y})