Express as a natural log,then differentiate with respect to x,Find dy/dx (a)y=(2x-3)^5/(x²+1)^6√(x^3-2x). (B)y=log4 2x (c) y=x^(2x)?
1 Answer
Sep 18, 2015
See the explanation section.
Explanation:
Here is my best guess what the intended functions are:
(a)
# = 5ln(2x-3)-6ln(x^2+1) + 1/2ln(x^3-2x)#
# = [10/(2x-3)-(12x)/(x^2+1)+(3x^2-2)/(2(x^3-2x))]#
# = (2x-3)^5/(x²+1)^6sqrt(x^3-2x)[10/(2x-3)-(12x)/(x^2+1)+(3x^2-2)/(2(x^3-2x))]#
(B)
(c)
# = x^(2x) [2lnx+2]#