Hello, SportfreundeKeaneKent!
I'll try the third one . . .
. . . . . . . . . .(2x² - 5)^3
c) .g(x) . = . --------------
. . . . . . . . . . (x + 1)^4
. . . . . . . .(x + 1)^4 3(2x² - 5)²·4x - (2x² - 5)³·4(x + 1)³
g'(x) . = . -------------------------------------------------------
. . . . . . . . . . . . . . . . . . . .(x + 1)^8
. . . . . . .4(x + 1)³(2x² - 5)² [3x(x + 1) - (2x² - 5)]
Factor: . --------------------------------------------------
. . . . . . . . . . . . . . . . . (x + 1)^8
. . . . . .4(2x² - 5)²(x² + 3x + 5)
. . . = . -----------------------------
. . . . . . . . . . . (x + 1)^5
Could someone verify the second one b.) ? My friend and I are getting different answers even though there does not appear to be anything wrong with the way that either of us are doing the question.
The answer which I got is 2sqrt(1-4x) - 4x-2/sqrt(1-4x)