Homework Help: math

Posted by Britney on Thursday, November 8, 2012 at 7:25pm.

Find the relative extrema, if any, of the function. Use the second derivative test, if applicable.

g(x)=4x^2+7x+6

relative maximum

(x, y) = (, )

relative minimum

(x, y) = (, )

math - Reiny, Thursday, November 8, 2012 at 8:32pm
your curve is a parabola opening upwards, so there is only one minimum and no maximum196/64 + 7(

g ' (x) = 8x + 7
= 0
8x = -7
x=-7/8

g(-7/8) = 196/64 - 49/8 + 6
= 47/16

minimum or vertex is (-7/8 , 47/16)

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