Sunday

April 20, 2014

April 20, 2014

Posted by **Robin** on Sunday, July 7, 2013 at 9:25pm.

f(x)=x−7cos(x) on the interval [−ð,ð).

- Calculus -
**MathMate**, Sunday, July 7, 2013 at 10:49pmThink of

f(x)=f1(x)+f2(x)

where

f1(x)=x

f2(x)=-cos(x)

We note that f1(x) is monotonically increasing throughout [-π, π) while

f2(x) is increasing between [-π, 0) and decreasing between [0,π).

Therefore to find the absolute maximum and minimum, we only need to check three locations, x=-π, x=0, and x=π.

f(-π)=-π+7 = 3.86 (approx.)

f(0)=0-7=0-7 = -7

f(π)=π+7 = 10.14 (approx.)

from which you can pick out the absolute maximum and minimum.

**Related Questions**

Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum ...

Calculus (pleas help!!!) - Find the absolute maximum and absolute minimum values...

Calculus - Find the absolute maximum and absolute minimum values of the function...

Calculus - Find the absolute maximum and absolute minimum values of f(x)=sinx...

Applied Calculus - Find the absolute maximum and absolute minimum values, if any...

calculus - Find the absolute maximum and absolute minimum values of f on the ...

Calculus - Find the absolute extrema of the function on the interval [2, 9]. (...

calculus - Find the absolute maximum and absolute minimum values of f on the ...

absolute maximum - absolute maximum of (x^2-4)/(x^2+4) the critical numbers i ...

calculus - Find the absolute maximum and absolute minimum values of f on the ...