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Beliebt Rechnen >

f^'(x)=8x^3-6x^2+10x-9,f(1)=24

Lösung

f^{^{'}} (x) = 8 x^{3} - 6 x^{2} + 10 x - 9, f (1) = 24

Lösung

f (x) = 2 x^{4} - 2 x^{3} + 5 x^{2} - 9 x + 28

Schritte zur Lösung

f^{'} (x) = 8 x^{3} - 6 x^{2} + 10 x - 9

Wenn

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

dann

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

f (x) = \int 8 x^{3} - 6 x^{2} + 10 x - 9 d x

\int 8 x^{3} - 6 x^{2} + 10 x - 9 d x = 2 x^{4} - 2 x^{3} + 5 x^{2} - 9 x + c_{1}

f (x) = 2 x^{4} - 2 x^{3} + 5 x^{2} - 9 x + c_{1}

Wende die Anfangsbedingung an:

f (x) = 2 x^{4} - 2 x^{3} + 5 x^{2} - 9 x + 28

f (x) = 2 x^{4} - 2 x^{3} + 5 x^{2} - 9 x + 28

Graph

Beliebte Beispiele

maclaurin sqrt(1-x^2)

ma c l a u r in 1 - x^{2}

derivative y=(sqrt(x))/(7+x)

d er i v a t i v e y = \frac{x}{7 + x}

limit as x approaches 1 of sqrt(7x+42)

x \to 1 lim (7 x + 42)

derivative of 5^{mx}

\frac{d}{d x} (5^{m x})

limit as x approaches 0-of e^x

x \to 0 - lim (e^{x})