Thursday

January 29, 2015

January 29, 2015

Posted by **Yoona** on Sunday, December 18, 2011 at 11:24pm.

a. Find the coordinate of all maximum and minimum points on the given interval. Justify your answers.

b. Find the coordinates of all points of inflection on the given interval. Justify your answers.

please be explisive!

thanks!

- calculus -
**Damon**, Monday, December 19, 2011 at 1:53amdy/dx = 1 + cos x

0 when cos x = -1

that is when x = pi

d^2y/dx^2 = -sin x

-sin x = 0 when x = pi

so this is not a max or min but a point of inflection

- calculus -
**Damon**, Monday, December 19, 2011 at 1:58amnow look at the ends

at x = - pi/2

y = - pi/2 + sin(-pi/2) = -pi/2 -1

minimum I bet

at x = 3 pi/2

y = 3 pi/2 + sin (3 pi/2) = 3 pi/2 -1

maximum

**Answer this Question**

**Related Questions**

Math, please help - Which of the following are trigonometric identities? (Can be...

calculus - 4. Given the function f defined by f(x) = cos2x for -π≤ x...

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

Trig - find all solutions to the equation √3 csc(2theta)=-2 Would the ...

calculus - Try to find the value of a such that the function f(x)=asinx+ (1/3) ...

Pre-Calc : Verify the Identity - Verify the Identity: sin(x+π)/cos(x+3π...

Math - Evaluate *Note - We have to find the exact value of these. That I know to...

Calculus - How do I find the critical values? y= 4/x + tan(πx/8) What I ...

Calculus - Functions? - #1. A cubic polynomial function f is defined by f(x) = ...

Math integrals - What is the indefinite integral of ∫ [sin (π/x)]/ x^...