Function y=x³
- 18x²+ 196x find
Maxima
Minima
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Answered by
35
Answer:
f(x) =x³-18x²+96x
f'(x) =3x²-36x+96
=x²-12x+32=0
=x(x-8) -4(x-8)
f'(x) =(x-4) (x-8) =0
x=4, 8
f'(x) =2x-12
f' (4) = -4<0
x=4 point of maxima
f(4) =64-16×18+96×4
=448-228
=160
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