Question

Find the value of C so that fx=2x^3+5x^2+Cx-2 has exactly one critical number.

Answer 1

You have\[f(x)=2x^3+5x^2+Cx-2,\]with\[f'(x)=6x^2+10x+C.\]Since this one is a degree-\(2\) polynomial, it will always have one critical point for any constant \(C\).

Answer 2

oh ok so its 25/6

Answer 3

thanks

Answer 4

It's \[Thanks\]