find the range of a when the function y = x^4 - 4x^3 + 2ax has local maximum value..... (^ means power of)
2006-09-24 17:04:43 · 4 answers · asked by idunno 2 in Education & Reference ➔ Homework Help
Simplifying
y = x4 + -4x3 + 2ax
Reorder the terms:
y = 2ax + -4x3 + x4
Solving
y = 2ax + -4x3 + x4
Move all terms containing a to the left, all other terms to the right.
Add '-2ax' to each side of the equation.
-2ax + y = 2ax + -4x3 + -2ax + x4
Reorder the terms:
-2ax + y = 2ax + -2ax + -4x3 + x4
Combine like terms: 2ax + -2ax = 0
-2ax + y = 0 + -4x3 + x4
-2ax + y = -4x3 + x4
Add '-1y' to each side of the equation.
-2ax + y + -1y = -4x3 + x4 + -1y
Combine like terms: y + -1y = 0
-2ax + 0 = -4x3 + x4 + -1y
-2ax = -4x3 + x4 + -1y
Divide each side by '-2x'.
a = 2x2 + -0.5x3 + 0.5x-1y
Simplifying
a = 2x2 + -0.5x3 + 0.5x-1y
Reorder the terms:
a = 0.5x-1y + 2x2 + -0.5x3
hope that is what u r looking for
2006-09-24 17:44:41 · answer #1 · answered by Jon S 1 · 0⤊ 0⤋
X^3 i think im not shure though
2006-09-25 00:07:34 · answer #2 · answered by cg60@sbcglobal.net 1 · 0⤊ 0⤋
No. Sorry, I cut school that day.
2006-09-25 00:05:43 · answer #3 · answered by Ruby 4 · 0⤊ 0⤋
holy crap!!!!!!! um no sorry
2006-09-25 00:05:31 · answer #4 · answered by ♥♥livin_life_and_lovin_it♥♥ 2 · 0⤊ 0⤋