Tolong Guys , Tentukan Titik Kritis dan Titik Belok , f(x)=2x³+3x²-12x+6

jawab

f(x) = 2x³ + 3x² -12x + 6
f'(x)= 6x² + 6x -12
f" (x) = 12x + 6

f' (x)= 0
6x² + 6x-12 =0
x² + x - 2= 0
(x + 2)(x - 1)= 0
x = - 2  atau x = 1

f '(x)= 12x + 6
f" (-2)= 12(-2) + 6 < 0 --> maksimum 
f"(1) =  12(1)+ 6 > 0  --> minimum

f(-2) = 2(-8) + 3(4) -12(-2) + 6 = 26
f(1) = 2+3-12+6 =  -1

titik (-2, 26) titik maksimum
 titik (1, -1) titik minimum