Photedes extrema, the concolorous, is a moth of the family Noctuidae. The species was first described by Jacob Hübner in 1809. It is found in most of Europe (except Iceland, Ireland, the Iberian Peninsula, Norway, Italy, Bulgaria and Greece).
The function is:
g(x)=x^2+2x^\frac{2}{3} on [-2,2]
So far I got the derivative as:
g'(x)=2x+\frac{4}{3}x^{-\frac{1}{3}}
Now, I am stuck at finding the critical #s. I need help.
For the function below, I have to find the exact values of x for which relative extreme exist and the exact values of x for which points of inflection exist.
f(x) = 1x/2 - sin(x) when x is in the interval (0,2pi)
Here's what I have:
f'x = 1/2 - cos(x) = 0 (I'm not sure how to solve for...
Please help me?? I'm having great difficulty solving this question.
Find all relative extrema of x^2y^2 subject to the constraint 4x^2+y^2=8. Do this in two ways:
a)Use the constraint to eliminate a variable
b)Use the method of Lagrange multipliers.
Your help will be greatly appreciated.