Question

Optimize f(x) = 2x ^ 2 - 30x ^ 2 + 12x + 59 Find the

critical points by taking the first derivative, setting it equal to
zero, and solving for x

Answer 1

x = 3/14

Explanation:

`f(x)=2x^2-30x^2+12x+59\\f(x)=-28x^2+12x+59\\f'(x)=-56x+12\\\\0=-56x+12\\-12=-56x\\(3)/(14)=x`

Therefore, x=3/14 is a critical point