Grade 12Differential Calculus
f: [-5,5]→[3,18] Surjective & differentiable f
g(x) = f(x) f'(x) Twice differentiable fr
g(0)=k Find least integral value of k such that there always exists some CEES✓ f to satisfy (f' * (c)) ^ 2 =-f(c)f^ prime prime (c) \&(f(c))^ 2 f^ prime prime (c) < 3 * (f' * (c)) ^ 3
f: [-5,5]→[3,18] Surjective & differentiable f
g(x) = f(x) f'(x) Twice differentiable fr
g(0)=k Find least integral value of k such that there always exists some CEES✓ f to satisfy (f' * (c)) ^ 2 =-f(c)f^ prime prime (c) \&(f(c))^ 2 f^ prime prime (c) < 3 * (f' * (c)) ^ 3
