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Beliebt Rechnen >

derivative 5x^2+2x+6

Lösung

ableitung von

5 x^{2} + 2 x + 6

Lösung

10 x + 2

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} + 2 x + 6)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (6)

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (6) = 0

= 10 x + 2 + 0

Vereinfache

= 10 x + 2

Graph

Beliebte Beispiele

(\partial}{\partial x}(\frac{x^2+y^2)/2)

\frac{\partial}{\partial x} (\frac{x ^{2} + y ^{2}}{2})

y^{''}-2/x y^'-(10)/(x^2)y=0

y^{^{''}} - \frac{2}{x} y^{^{'}} - \frac{10}{x ^{2}} y = 0

derivative cos(4x)

d er i v a t i v e cos (4 x)

tangent sqrt(3x+4),\at x=4

t an g e n t 3 x + 4, at x = 4

derivative of (5x/((x^2+2)^2))

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