Question

Explain why f(x) = 4x + 5x + chas a greater minimum thang(x) = 9x + 10x + c regardless ofthe value of c.

Answer 1

we have to use the second derivative criteria

$f(x)=4x^2+5x+c$$f^{\prime}(x)=8x+5$$f^{\prime}^{\prime}(x)=8$$g(x)=9x^2+10x+c$$g^{\prime}(x)=18x+10$$g^{\prime}^{\prime}(x)=18$