Maximum value of a function

Question:Maximum value of a function

Posted: Muhammad Usman 235 Product: Maple 15

April 02 2021

Hi Users!

Hope everyone is fine here. I want to find the values of M and L for any functions f(x,y) and y(x) such that

abs(diff(f, y)) for all a ≤ x ≤ b, -∞ < y < ∞ and

abs(diff(y, x, x, x)) for all a ≤ x ≤ b, -∞ < y < ∞

For example for

f:=y-x^(2)+1; 0 ≤ x ≤ 2, -∞ < y < ∞ and

y:=(x+1)^2-.5*exp(x); 0 ≤ x ≤ 2, -∞ < y < ∞

the values of L = 1 and M = 0.5exp(2)

Share via:

E-Mail Address:
Password:
Remember Me:	Automatically sign in on future visits

E-Mail Address:
Password:
Remember Me:	Automatically sign in on future visits

Save this setting as your default sorting preference?
Note: You can change your preference any time in your account settings
Don't show this again