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f(x)=2x^(3)-18x^(2)+30x+36 has minimum v...

`f(x)=2x^(3)-18x^(2)+30x+36` has minimum value at x = ….

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Show that the function 2x^(3)+3x^(2)-36x+10 has a maximum value at x=-3 and a minimum value at x=2 , also find the maximum and minimum values of the function.

A : The function f(x) =2x^3-3x^2-12x+8 has minimum value R: For the above function f^'(2)=0 and f^' ' (2) gt 0