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Beliebt Rechnen >

((4x^3)/3+2x+cos(x)+1)^'

Lösung

(\frac{4 x ^{3}}{3} + 2 x + cos (x) + 1)^{^{'}}

Lösung

4 x^{2} - sin (x) + 2

Schritte zur Lösung

(\frac{4 x ^{3}}{3} + 2 x + cos (x) + 1)^{'}

Wende die Summen-/Differenzregel an:

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

= (\frac{4 x ^{3}}{3})^{^{'}} + (2 x)^{^{'}} + (cos (x))^{^{'}} + 1^{^{'}}

(\frac{4 x ^{3}}{3})^{'} = 4 x^{2}

(2 x)^{'} = 2

(cos (x))^{'} = - sin (x)

1^{'} = 0

= 4 x^{2} + 2 - sin (x) + 0

Vereinfache

= 4 x^{2} - sin (x) + 2

Graph

Beliebte Beispiele

integral of (sqrt(16-4x^2))

\int (16 - 4 x^{2}) d x

derivative of 2-sin(x)

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

derivative of (x^2+6x/(10-x^2))

\frac{d}{d x} (\frac{x ^{2} + 6 x}{10 - x ^{2}})

y^{''}-7y^'+10y=-sin(3t)

y^{^{''}} - 7 y^{^{'}} + 10 y = - sin (3 t)

fläche y=x^2+2x-11,y=3,[3,5]

a re a y = x^{2} + 2 x - 11, y = 3, [3, 5]