math
posted by Britney .
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) = (, )

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)
Respond to this Question
Similar Questions

differentiability
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f prime of x equals (x24)*g(x), which of the following is true? 
calculus
If g is a differentiable function such that g(x) is less than 0 for all real numbers x and if f'(x)=(x24)g(x), which of the following is true? 
Calculus
1. Find all relative extrema of the function f(x)=x^(6/7)3. Use the Second Derivative Test where applicable. 2. Find all relative extrema of the function f(x)=2x^416x^3+4. Use the Second Derivative Test where applicable. 
math
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) g(x)=x^36x relative maximum (x, y) = ( , ) relative minimum (x, y) = ( , ) 
Math
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) = (, ) 
Applied Calculus
Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable. (If an answer does not exist, enter DNE.) g(x)=x^(3)9x 
Calculus
Find the relative extrema, if any, of the function. Use the second derivative test, if applicable. (If an answer does not exist, enter DNE.) f(t) = 7 t + 3/t relative maximum (x, y) = relative minimum (x, y) = 
Calculus
Find all relative extrema. Use the Second Derivative Test where applicable. f(x)= cosx  x (0,2ð) 
Calculus
Find the values of x that give relative extrema for the function f(x)=3x^55x^3 A. Relative maximum: x= 1; Relative minimum: x=sqrt(5/3) B. Relative maximum: x=1; Relative minimum: x=1 C. Relative maxima: x=+or 1; Relative minimum: … 
Please check my Calculus
1. Find all points of inflection: f(x)=1/12x^42x^2+15 A. (2, 0) B. (2, 0), (2, 0) C. (0, 15) D. (2, 25/3), (2, 25/3) E. none of these I got D. I found the second derivative and equaled it to 0 and solved for x. I plugged the x values …