Mathematics
Mathematics, 13.01.2020 05:31, mmassaro19

Given the function f(g)=m(-2x+2)^5-n, 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 -10m(-2x+2)^4, 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

answer
Answers: 1

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Do you know the correct answer?
Given the function [tex]f(g)=m(-2x+2)^5-n[/tex], where m ≠ 0 and n ≠ 0 are constants.

a....

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