tentukan batas batas p agar f(x)= 3x^2-(p+1)X^2+(p-1)x-7 selalu naik!

[tex] f(x) = 3x^2 - (p+1)x^2 + (p-1)x - 7 [/tex]
[tex] f'(x) = 6x - 2(p+1)x + p - 1 [/tex]
[tex] f'(x) = 6x - 2px - 2x + p - 1 [/tex]
[tex] f'(x) = 4x - 2px + p - 1 [/tex]
[tex] f'(x) = x(4 - 2p) + p - 1 [/tex]
Agar garis f'(x) tidak melewati sumbu x, Maka m = 0
[tex] 0 = 4-2p [/tex]
[tex] p = 2 [/tex]