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Beliebt Rechnen >

derivative of (f(x^{-1})(11))=3x^2-6x+2

Lösung

\frac{d}{d x} ((f (x)^{- 1}) (11)) = 3 x^{2} - 6 x + 2

Lösung

f (x) = \frac{x ^{4}}{11} - \frac{3 x ^{3}}{11} + \frac{2 x ^{2}}{11} + \frac{c _{1} x}{11}

Schritte zur Lösung

\frac{d}{d x} ((f (x) x^{- 1}) (11)) = 3 x^{2} - 6 x + 2

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

f (x) x^{- 1} \cdot 11 = \int 3 x^{2} - 6 x + 2 d x

\int 3 x^{2} - 6 x + 2 d x = x^{3} - 3 x^{2} + 2 x + c_{1}

f (x) x^{- 1} \cdot 11 = x^{3} - 3 x^{2} + 2 x + c_{1}

Isoliere

f (x) : f (x) = \frac{x ^{4}}{11} - \frac{3 x ^{3}}{11} + \frac{2 x ^{2}}{11} + \frac{c _{1} x}{11}

f (x) = \frac{x ^{4}}{11} - \frac{3 x ^{3}}{11} + \frac{2 x ^{2}}{11} + \frac{c _{1} x}{11}

Graph

Beliebte Beispiele

y^{^{'}} = x^{2} 2^{y}

10 y^{^{'}} + 5 y = 0

(3x^2+2)^3y^'-xy^2=0,y(0)=2

(3 x^{2} + 2)^{3} y^{^{'}} - x y^{2} = 0, y (0) = 2

(dy)/(dx)y=8xarcsin(x)

\frac{d y}{d x} y = 8 x arcsin (x)

(dx)/(dy(sqrt(y)))=e^{-x}

\frac{d x}{d y ( y )} = e^{- x}