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Beliebt Rechnen >

derivative of 4x^3+x+5sin(x)

Lösung

\frac{d}{d x} (4 x^{3} + x + 5 sin (x))

Lösung

12 x^{2} + 1 + 5 cos (x)

Schritte zur Lösung

\frac{d}{d x} (4 x^{3} + x + 5 sin (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d x}{d x} + \frac{d}{d x} (5 sin (x))

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d x}{d x} = 1

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

= 12 x^{2} + 1 + 5 cos (x)

Graph

Beliebte Beispiele

integral of 2+3x^2-8x^3

\int 2 + 3 x^{2} - 8 x^{3} d x

tangent f(x)=-4-3x^2,(2,-16)

t an g e n t f (x) = - 4 - 3 x^{2}, (2, - 16)

integral from-45 to 0 of 1/(sqrt(4-x))

\int_{- 45}^{0} \frac{1}{4 - x} d x

integral of (6x^2-3x+3)

\int (6 x^{2} - 3 x + 3) d x

derivative of cos(2-3x)

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