- #1
courtrigrad
- 1,236
- 2
Hello all
If you are given the function [tex] y = x - 3e^-x^2 [/tex] and you want to find the intervals where the function is increasing and decreasing, concavity, inflection points and any local extreme values, would I first find the derivative?
My work
If [tex] f(x) = x - 3e^-x^2 [/tex] then [tex] f'(x) = 1+6e^(-x^2)xln(e) [/tex[. Then I set this equal to 0 But I get [tex] {e = e, x = RootOf(`.`(1+6*exp(-ln(e)_Z^2)_Zln(e) = 0, _Z))} [/tex]
How would you determine concavity and any local extrema? I know that to get inflection points you take the second derivative and set it equal to 0.
Thanks a lot
If you are given the function [tex] y = x - 3e^-x^2 [/tex] and you want to find the intervals where the function is increasing and decreasing, concavity, inflection points and any local extreme values, would I first find the derivative?
My work
If [tex] f(x) = x - 3e^-x^2 [/tex] then [tex] f'(x) = 1+6e^(-x^2)xln(e) [/tex[. Then I set this equal to 0 But I get [tex] {e = e, x = RootOf(`.`(1+6*exp(-ln(e)_Z^2)_Zln(e) = 0, _Z))} [/tex]
How would you determine concavity and any local extrema? I know that to get inflection points you take the second derivative and set it equal to 0.
Thanks a lot