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)

## Answer this Question

## Related Questions

- Math - Find the relative extrema, if any, of the function. Use the second ...
- math - Find the relative extrema, if any, of the function. Use the second ...
- Calculus - Find the relative extrema, if any, of the function. Use the second ...
- Calculus - Find the values of x that give relative extrema for the function f(x...
- calculus - If g is a differentiable function such that g(x) is less than 0 for ...
- differentiability - If g is a differentiable function such that g(x) is less ...
- Calculus - 1. Find all relative extrema of the function f(x)=x^(6/7)-3. Use the ...
- Please check my Calculus - 1. Find all points of inflection: f(x)=1/12x^4-2x^2+...
- Applied Calculus - Find the relative extrema, if any, of the function. Use the ...
- Calculus - Find all relative extrema. Use the Second Derivative Test where ...