SOLUTION: Calculus Problem. Prove that F(x) = 4x^3+x has no relative max or min without graphing.

SOLUTION: Calculus Problem. Prove that F(x) = 4x^3+x has no relative max or min without graphing.

Algebra.Com

Question 1031104: Calculus Problem.
Prove that F(x) = 4x^3+x has no relative max or min without graphing.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Prove that F(x) = 4x^3+x has no relative max or min without graphing.
----
F'(x) = 12x^2+1
-----
Solve: 12x^2+1 = 0
12x^2 = -1
x^2 = -1/12
------
Solutions for that are not Real Numbers.
Therefore F(x) has no relative max or min.
Cheers,
Stan H.
-----

RELATED QUESTIONS
I am having a hard timfiguaring out what the relative max and min. is. how to caculate... (answered by Alan3354)

Determine without graphing if th quadratic fuction has a max value or min value then find (answered by josgarithmetic)

Use a graphing calculator to find the intervals on which the function f(x)=x^3-2x^2 is... (answered by lwsshak3)

Let p(x) = -x^2+ 4x+5 State whether p has a max or a min value. What is the max or... (answered by MathLover1)

f(x) = x2 + 2x - 9 is it max or... (answered by ewatrrr)

1.a) Graph the function f (x) = x2 − 4. b) Estimate the intervals on which (answered by richard1234)

Let f (x, y) = x2 + 2xy + 2y2 − 6y + 2. Find and identify all relative max�s and... (answered by ewatrrr)

Let f (x, y) = x2 + 2xy + 2y2 − 6y + 2. Find & identify all relative max�s and... (answered by ewatrrr)

f(x)=x^2-10x-5 Value= x= f(x)= Is it max or... (answered by Alan3354)