Monday

December 22, 2014

December 22, 2014

Posted by **Rachal** on Wednesday, May 18, 2011 at 5:35am.

Use a calculator to find all the points (x,f(x)) where there is a local maximum.

Round to the nearest hundredth.

- Algebra -
**Reiny**, Wednesday, May 18, 2011 at 8:09amf '(x) = 16x^3 + 6x^2 - 16x - 5 , ( I assumed the second last term was -8x^2 )

16x^3 + 6x^2 - 16x - 5 = 0

zeros for this equation exist at

appr. -1,1 and -.3

f ''(x) = 48x^2+ 12x - 16

both f ''(1) and f ''(-1) > 0

but f ''(-.3) < 0

so when x = -.3 (appr), we have a local maximum

I will let you find f(-.3)

**Answer this Question**

**Related Questions**

Algebra - The polynomial function f is defined by f(x)x^4-3x^3-2x^2+4x+5. Use a ...

Algebra - The polynomial function f is defined by f(x)x^4-3x^3-2x^2+4x+5. Use a ...

Math - The polynomial function f is defined by f(x)x^4-3x^3-2x^2+4x+5. Use a ...

Trig - The polynomial function f(x) is defined by f(x)=-4x^4+9x^3+2x^2-7x-2. Use...

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

Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...

Calculus - A cubic polynomial function f is defined by f(x) = 4x^3 + ax^2 + bx...

Algebra - I have a word problem here. A batter hits a fly ball. A scout in the ...

math,algebra,correction - the direction say to calculate to approximate radical(...

Algebra II Part 2 - Use a graphing calculator to solve the equation -3 cos t=1 ...