Posted by **Anonymous** on Wednesday, December 5, 2007 at 11:52am.

Find and Classify, the absolut extreme values of each function on the given interval.(do not give decimal)

(a) g(x)= 2sinx + 2cos^(2)x; [0,2pie]

(b) f(x)=x^(4)-2x^(3)+3; [-1,2]

- CALCULUS -
**drwls**, Wednesday, December 5, 2007 at 6:04pm
Set the derivatives equal to zero to determine the location of the extreme values.

Determine what the second derivative is at those points to tell maxima from minima. (Positive second derivative means a minimum). If the second derivative is zero, the situation is more complex. You might try plotting it out.

For example, in (b),

f'(x) = 4x^3 -6x^2 = 0

x^2(4x - 6) = 0

x = 0 or 3/2

f"(x) = 12x^2 -12x

When x = 3/2, f"(x) = 9

So x = 1.5 is a minimum location

## Answer This Question

## Related Questions

- CALCULUS - Find the critical numbers of each given function. (a) f(x)=3rt(x^(2)-...
- Calculus - Determin the absolute extreme values of the function on the given ...
- math - Find the critical numbers of each given function. (a) f(x)=3rt(x^(2)-x (b...
- maths - 1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. ...
- maths - 1. Prove using mathematical induction that 1+2+3+...+n=[ n(n+1)]/2 2. ...
- CALCULUS - Find and classify all locsl extreme values of each given function.(no...
- college calculus 1 - Find the local and absolute extreme values of the function...
- MATH - Find and classify all local extreme values of each given function. (a) g(...
- Calculus - A)Find the critical points off on the given interval. B)Determine ...
- Calus calculus - a. Find the critical points of f on the given interval. b. ...

More Related Questions