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Number of points of inflexion on the cuv...

Number of points of inflexion on the cuve `f(x)=(x-1)^(7)(x+2)^(8)` is equal to `l` then `(5l)/(10^(2))` is equal to __________

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The correct Answer is:
`00000.15`

`f^('')(x)=(x-1)^(5)(x+2)^(6)(195x^(2)+153x+30)`
`f^('')(x)=0`, if `x=1,-2x_(1),x_(2)`
Clearly there are 3 inflexion points
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