Given the function [tex]f(g)=m(-2x+2)^5-n[/tex], where m ≠ 0 and n ≠ 0 are constants.
a....
Mathematics, 13.01.2020 05:31, mmassaro19
Given the function , where m ≠ 0 and n ≠ 0 are constants.
a. prove that g is monotonic
b. show that the x-coordinate(s) of the location(s) of any critical points are independent of m and n.
i know that you need to first derivative, which is , and that an equation is monotonic if the derivative doesn't change sign. i know that f(g) contiguously decreases, but i'm not sure how to prove it.
and for the second part i got the only location independent of m and n is when x = 1
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