Question

Find using quotient rule:
j'(x) = [(-1/4)x+1]/[-2(abs(x-2))+4]
(simpler looking equation in comments)

Answer 1

\[j'(X)=\frac{ \frac{ -1 }{ 4 }x+1 }{ -2\left| x-2 \right|+4 }\]

Answer 2

I know the formula for the quotient rule, it's just the absolute value that's throwing me off

Answer 3

anyone? :/

Answer 4

so would the derivative of the entire denominator simplify to -2x?

Answer 5

ok! i think i got it. It says i got the problem right now at least. thanks for the help!

Answer 6

Hold on. I may have to flip them.

Derivative of |x| is x / |x|
Derivative of |x - 2| = (x - 2) / |x - 2|

Answer 7

Got it. Thanks a lot that really helped!

Answer 8

This link may help too: http://www.youtube.com/watch?v=-z0Kii-yU1Q