math
posted by nicko .
If g is a differentiable function such that g(x) < 0 for all real numbers x and if f'(x)=(x24)g(x), which of the following is true?

The answer is "B", f(x) has a minimum at x=2 and a maximum at x=+2.
For explanations, see
http://www.jiskha.com/display.cgi?id=1293845056
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 ap
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
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? 
math 2
let f and g be two functions defined by: f(x)=x+5, with domain all real numbers; g(x)=2x, with all real numbers. which of the following statement are true for f and g? 
PreCalculus
Graphing Polynomials Decide whether each of the following is sometimes true, always true, or never true and explain reasoning. A. A cubic function has 2 different xintercepts ^Never true, has to have 3? 
math
Suppose p(x) is a twicedifferentiable function such that p(1) = 3, p'(1) = 0, and p”(1) = 2. Which of the following is true? 
Algebra 1 Please, check my answers!
1. What is ((12x^6 + x)) / ((4x^2))? A: 3x^4  1/4x 2. What is the greatest common factor of the terms of the polynomial 6x^3  18x^2 + 12x + 3? 
Math
Assume that f is a continuous function from the real numbers to the real numbers such that for all numbers x,y, and a it is true that f(x+y)=f(x) + f(y) and that f(ax)=af(x). Further assume that f(1) = pi. Find f'(1). Please explain … 
Math
The twice–differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)=3 f′(0)=5 f″(0)=7 a)The function g is given by g(x)=e^ax+f(x) for all real numbers, where a is a constant. … 
Math
Write the equation of a function with the following requirements: A domain of all real numbers over 3, a range of all real numbers, an xintercept of (5,0), and a vertical asymptote at x = 3.