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About LinkBacksUse the derivative of the function y=f(x) to find the points at which f has a local maximum, local minimum or point of inflection.
y ' = 6(x+1)(x-2)^2
help me with this problem, thank you
You already know that*
At an extremum,(x-2)^2 = 0)
That is.
To know the nature of these points we compute the second order derivative.
 =(18x)(x-2)](http://latex.codecogs.com/png.latex? y'' = 6(x-2)^2 + 12(x+1)(x-2)= [6(x-2)+12(x+1)](x-2) =(18x)(x-2) )
If x = -1 thenand we have a minimum.
If x = 2 thenand we have a point of inflection.
We also have a point of inflection at x=0 because.
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