Question #81db1

1 Answer
Nov 20, 2016

#-(10/(2x+1)+1/x)#

Explanation:

differentiate using the #color(blue)"chain rule"# on each term.

#color(red)(bar(ul(|color(white)(2/2)color(black)([d/dxln(f(x))]=1/(f(x))xxf'(x))color(white)(2/2)|)))#

#d/dx(-5ln(2x+1))=-5. 1/(2x+1).d/dx(2x+1)#

#=-10/(2x+1)#

#"and " d/dx(-ln(2x))=-1/(2x).d/dx(2x)=-1/x#

#rArr-(10/(2x+1)+1/x)" is the derivative"#