1. tentukan nilai maksimum dan minimum dari fungsi fungsi berikut !

Jawab:

turunan
nilai  maks / min

a. f(x) = x² -8x + 7
f'(x) = 0
2x- 8 = 0
x = 4
f(4) = 4² -8(4) + 7
f(4) = 16 – 32 + 7
f(4) = -9
a =1,  maka  nilai minimum = -9

c.  f(x) =  x³ -3x² + 4
f'(x) =0
3x² -6x = 0
3x(x -2) =0
x= 0   atau  x = 2
garis bilangan
+ + [0] – – [ 2] + +

i) maksimum di x =0 ,
f(0) = 0³ -3(0)² + 4
f(0)= 4
nilai maks = 4

ii) minimum  di x= 2
f(2) = 2³ -3(2)² + 4
f(2) = 8 – 12 + 4
f(2) = 0
nilai minimum = 0