Question

True or false the function f(x) = -3(x+10)^2 has a minimum

Answer 1

Notice that:

`\begin{gathered} f^(\prime)(x)=-6(x+10), \\ f^(\prime\prime)(x)=-6. \end{gathered}`

Since for all x, f''(x)<0, by the second derivative criteria we get that f(x) reaches a maximum.

Answer: False.