SOLUTION: Estimate the x-coordinate at which the relative maxima and relative minima occur in g(x)= x^3 + 6x^2 + 6x - 4.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Estimate the x-coordinate at which the relative maxima and relative minima occur in g(x)= x^3 + 6x^2 + 6x - 4.      Log On


   

Question 1073512: Estimate the x-coordinate at which the relative maxima and relative minima occur in g(x)= x^3 + 6x^2 + 6x - 4.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"Estimate"?

dg%2Fdx=3x%5E2%2B12x%2B6

3x%5E2%2B12x%2B6=0

x%5E2%2B4x%2B2=0

roots %28-4%2B-+sqrt%2816-4%2A2%29%29%2F2
.
.


The extreme values of g(x) will occur at the roots of this quadratic equation: for x values -2-sqrt%282%29 and -2%2Bsqrt%282%29.


graph%28300%2C300%2C-6%2C3%2C-6%2C6%2Cx%5E3%2B6x%5E2%2B6x-4%29