Wednesday

April 1, 2015

April 1, 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 ...

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

AP CALC. AB - Let h be a function defined for all x≠0 such that h(4)=-3 ...

Calculus - The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + ...

math - Question Part Points Submissions Used Verify that the function satisfies...

Precalc/Trig - Sorry there are quite a few problems, but I just need to know if ...

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

Calculus - determine the absolute extreme values of the function f(x)=sinx-cosx+...