Question

Please help me answer this!!!

Answer 1

f(x) = 1 + x - (√6)x²

f'(x) = 1 - 2x√6 = 0

2x√6 = 1

x = 1/(2√6) = (1/12)√6

f(x) = 1 + (1/12)√6 - (√6)((1/12)(√6))²

= 1 + (1/12)√6 - (√6)(6/144)

= 1 + (1/12)√6 - (1/24)√6

= 1 + (1/24)√6

= about 1.1021

(which is close to part (b))