Question

find the maximum and minimum values of the function 2x³-9x²+12x-3=0​

Answer 1

Answer:

f(x)=2x

3

−9mx

2

+12m

2

x+1

f

′

(x)=6x

2

−13mx+12m

2

∴f

′

(x)=0;6x

2

−18mx+12m

2

=0

∴x

2

−3mx+2m

2

=0

∴(x−2m)(x−m)=0

∴p=m q=2m

∴p

2

=q

∴m

2

=2m

∴m

2

−2m=0

∴m(m−2)=0

∴m>0;m=2

Answer 2

Answer:

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