Homework Help: Calculus

Posted by Madeline on Saturday, January 5, 2013 at 1:42pm.

The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + 2) on the open interval (-3,3). 1. Determine the x-coordinate of the absolute minimum of f(x) in the open interval (-3,3). Justify your answer. 2. Find all values of x for which f(x) is concave down. Justify your answer. 3. Let g(x) be defined as g(x) = abs(f'(x)), the absolute value of the derivative of f(x), in the open interval (-3,3). Determine the (x,y) coordinate of the relative maxima of g(x) in the open interval. Justify your answer. 4. Find the x-values of the relative minima of g(x)? Justify your answer.

Calculus - Steve, Saturday, January 5, 2013 at 3:18pm
are you having trouble with this? It looks like straightforward use of derivatives to find critical values and concavity. What do you get?

Answer this Question

Related Questions

calculus - Consider the function f(x)=3x^2 – 5x on the interval [-4,4]. ...
calc - consider the function f(x)=x^3 - x^2 - 3x -2. find the average slope of ...
CALCULUs - For all x in the interval [-11,13] the function f is defined by x^3(x...
Calculus - 1. Locate the absolute extrema of the function f(x)=cos(pi*x) on the ...
Honors Pre-Calculus - The prompt says "Graph each function. Determine the ...
Calculus - Find: (a) the interval(s) on which f is increasing, (b) the interval(...
Calculus - Find: (a) the interval(s) on which f is increasing, (b) the interval(...
calculus - Consider the function f(x)=4sqrtx+5 on the interval [4,5]. Find the ...
calculus - Consider the function f(x)=–3x3–1x2+1x+1Find the average ...
Calculus - Answer the following questions for the function f(x) = sin^2(x/3) ...

For Further Reading

First Name:
School Subject:
Answer: