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Beliebt Rechnen >

derivative of 3x^2+6x+cos(x)

Lösung

\frac{d}{d x} (3 x^{2} + 6 x + cos (x))

Lösung

6 x + 6 - sin (x)

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} + 6 x + cos (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (6 x) + \frac{d}{d x} (cos (x))

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (6 x) = 6

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

= 6 x + 6 - sin (x)

Graph

Beliebte Beispiele

y^'=sqrt(tan(x))(sec(x))^4

y^{^{'}} = tan (x) (sec (x))^{4}

integral of x^3e^{7x}

\int x^{3} e^{7 x} d x

y^'-3y=6,y(0)=1

y^{^{'}} - 3 y = 6, y (0) = 1

integral of e^{ax}x

\int e^{a x} x d x

derivative of 5{g}(x(2x^3)+2/(x^2))

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