Tuesday

July 22, 2014

July 22, 2014

Posted by **Catherine** on Tuesday, April 5, 2011 at 1:25am.

- Calculus -
**Damon**, Tuesday, April 5, 2011 at 2:30amf' = [4(t^2+2) -4t (2t)]/(t^2+2)^2

= [-4t^2+8]/(t^2+2)^2

0 at max or min

t = + or - sqrt 2

f" = [ (t^2+2)^2 (-8t) + 4(t^2-2)(2)(t^2+2)(2t) ] / (t^2+2)^4

if t = +sqrt 2

t^2+2 = 4

t^2-2 = 0

f" = [ -32 sqrt 2 +4*0 etc } /4^4

which is positive so a minimum

if t = - sqrt 2

t^2+2 is still 4

t^2-2 is still zero

so

f" = { +32 sqrt 2 .... etc

which is negative so a maximum

**Related Questions**

Calculus - Use analytical methods to find the exact global maximum and minimum ...

Algebra 2 - 3. Identify the vertex and the axis of symmetry of the graph of the ...

URGENT ALGEBRA 2 - identify the vertex and the axis of symmetry of the graph for...

calculus - Find the points at which y = f(x) = 5x−ln(5x) has a global ...

algebra can someone help my buddy ray out - identify the vertex and the axis of...

calculus - Find the points at which y = f(x) = x8−13x has a global maximum...

algebra - Find the domain and range of the function. 1. f(x)= x^2-x I got: ...

Pre-calculus - Can somebody help me wit this? Find the range and the domain of: ...

Math - State two types of functions that you know that do not have a maximum or ...

Algebra 2 Could use help asap - I really am trying to work these problems out ...