tolong di jawab dong. mau di kumpul besok Diketahui f(x) = (3p+2)x²-(2p+1)x+1. Jika F'(-1)=11, maka nilai f'(- ½p)-F(p)= ....

Materi Turunan

f(x) = (3p+2)x²-(2p+1)x+1
maka
f'(x) = 2(3p+2)x - (2p+1)
f'(-1)=11
11=-2(3p+2) - 2p - 1
11= -6p-4-2p-1
11=-8p-5
-8p=-5-11
-8p=-16
p=-16/-8
p=2

maka
jika p=2
maka
di dapat
f'(x) = 2(3(2)+2)x - (2(2)+1)
f'(x) = 16x - 5

f'(-½p) = 16(-½(2)-5
=-16-5
=-21
dan
f(p) = 3(3(2)+2)(2²)-(2(2)+1))2+1
= 12(8)-10+1
=96-9
=87

maka
f'(-½p) - f(p)
=-21-87
=-108