The known function f (x) = f '(1) e ^ x-1-f (0) x + &# 189; X & # 178; If f (x) ≥ (1 / 2) x & # 178; + ax + B, find the maximum of (a + 1) B

The known function f (x) = f '(1) e ^ x-1-f (0) x + &# 189; X & # 178; If f (x) ≥ (1 / 2) x & # 178; + ax + B, find the maximum of (a + 1) B

f(x)=f'(1)e^x-1-f(0)x+½x²
Because f (x) ≥ (1 / 2) x & # 178; + ax + B
f'(1)e^x-1-f(0)x+½x²≥(1/2)x²+ax+b
The result is: F '(1) e ^ x-1-f (0) x ≥ ax + B
That is: ax + B