Homework Help: Math: Calculus

Posted by NEED HELP!!!! on Wednesday, November 3, 2010 at 11:14pm.

Answer the following questions for the function
f(x)=sin(x/4)^2

defined on the interval [-12.266371, 2.241593].

Rememer that you can enter pi for as part of your answer.

a.)f(x) is concave down on the interval ____.

b.) A global minimum for this function occurs at ____.

c.) A local maximum for this function which is not a global
maximum occurs at _____.

d.) The function is increasing on the region _____.

Math: Calculus - NEED HELP!!!!, Thursday, November 4, 2010 at 12:28am
I REALLY NEED HELP ANSWERING THIS. I mange to get b and c but i'm stuck on the other two
Math: Calculus - MathMate, Thursday, November 4, 2010 at 8:11am
What did you get for b & c?

For concavity and increasing, you need to calculate f"(x) within the interval.

Concavity changes when f"(x)=0. f"(x)>0 is concave upwards, and vice versa.

Function's and increasing/decreasing changes only when f'(x)=0. When f'(x)>0 it is increasing, and vice versa.

Answer this Question

Related Questions

Calculus - Answer the following questions for the function f(x) = sin^2(x/3) ...
Calculus - Answer the following questions for the function f(x) = sin^2(x/3) ...
Calculus - Answer the following questions for the function f(x) = sin^2(x/3) ...
math - Answer the following questions for the function f(x)=sin^2(x/5) defined ...
Calculus - f(x) = sin^2(x/2) defined on the interval [ -5.683185, 1.270796]. ...
math - Eliminate the parameter (What does that mean?) and write a rectangular ...
Math: Calculus - Answer the following questions for the function f(x) = \frac{ x...
Public High School Pre Calculus HH - Ok I do not know how to do this problem. I ...
Calculus Please Help - A continuous function f, defined for all x, has the ...
Calculus Please Help - A continuous function f, defined for all x, has the ...

For Further Reading

First Name:
School Subject:
Answer: