Question

Find relative extrema of 7x^2+6x-6 using the second derivative test.

Answer 1

really you can't possibly need any derivative to find the max or min of a parabola

Answer 2

min is at the second coordinate of the vertex
the first coordinate of the vertex is \(-\frac{b}{2a}\) and the second is what you get when you plug in that number

Answer 3

in any case your second derivative i is a constant, namely 14 meaning the parabola is concave up which you knew already because the leading coefficient is positive

Answer 4

Okay thank you!