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Beliebt Rechnen >

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

Lösung

ableitung von

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

Lösung

2 x - 6

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (5) = 0

= 2 x - 6 + 0

Vereinfache

= 2 x - 6

Graph

Beliebte Beispiele

integral from-4 to 3 of | 1/2 x|

\int_{- 4}^{3} \frac{1}{2} x d x

derivative t/(1+t^2)

d er i v a t i v e \frac{t}{1 + t ^{2}}

tangent f(x)=(8x)/(x^2+1),(0,0)

t an g e n t f (x) = \frac{8 x}{x ^{2} + 1}, (0, 0)

integral of 2/(sec(2x)-1)

\int \frac{2}{sec ( 2 x ) - 1} d x

integral of sec^2(5θ)

\int sec^{2} (5 θ) d θ