I have a test tomorrow so i started going through all the math problems I could in my book and i am having trouble with 3 problems in this section, they are at the end of the section and are harder than the rest...and im lost on them..I understand how to do it, but i get stuck mostly between the first derivative and solving for my plugged in numbers
f(x)=x^2/3(x^2-4) on [-1,2]
the problem on this is that i have no idea how to find the derivative of this, I get to f'(x) = x^2/3(2x) + (x^2-4)(2/3x^-1/3), but i dont know how to multiply it out...
then on f(x) = x/x^2+2 on [-1,2]
i get f'(x)= 2/x^1/3-2
this is as far as i get, i don't really know where to go after this..when i set it equal to zero it doesn't pan out right
then the last is f(x)=1/x on (0,infinity)
f'(x)=-x^-2
how would i solve for infinity?
f(x)=x^2/3(x^2-4) on [-1,2]
the problem on this is that i have no idea how to find the derivative of this, I get to f'(x) = x^2/3(2x) + (x^2-4)(2/3x^-1/3), but i dont know how to multiply it out...
then on f(x) = x/x^2+2 on [-1,2]
i get f'(x)= 2/x^1/3-2
this is as far as i get, i don't really know where to go after this..when i set it equal to zero it doesn't pan out right
then the last is f(x)=1/x on (0,infinity)
f'(x)=-x^-2
how would i solve for infinity?
