Question

Find the absolute minimum value and the absolute maximum value, if any of the following function. f(x)=1/(x^2+2x+7) on [-2,1]. I already know how to set the derivative form and have it equal to zero, but what do I do after?

Answer 1

find f(x) for the extrema and the endpoints

Answer 2

And f'(x) for each segment in between, so that you know what the general behavior is.

Answer 3

ok... have you solved the 1st derivative to find the stationary point...

Answer 4

he already did that.
the next step is to find f(x) for all the extrema and the endpoints

Answer 5

ok... here is an image



what did you get for f(-2) and f(1)

and f( of your stationary point)