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Beliebt Rechnen >

derivative f(x)=5x^2-6

Lösung

ableitung von

f (x) = 5 x^{2} - 6

Lösung

10 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 10 x - 0

Vereinfache

= 10 x

Graph

Beliebte Beispiele

tangent f(x)=4x^2+2x,(-1,2)

t an g e n t f (x) = 4 x^{2} + 2 x, (- 1, 2)

derivative-1/(2x^2)+(32)/(5x^5)

d er i v a t i v e - \frac{1}{2 x ^{2}} + \frac{32}{5 x ^{5}}

integral of 1/(x^{-1/2)}

\int \frac{1}{x ^{- \frac{1}{2}}} d x

derivative of x(4x-12^3)

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

integral of-(4000)/(x^2)

\int - \frac{4000}{x ^{2}} d x