## ammu123 Group Title Find the derivative of y with respect to x, t or theta as appropriate (b) y= ln((1-x)/(x+5)^3) one year ago one year ago

1. abb0t Group Title

use quotient rule.

2. ammu123 Group Title

the answer is 2x-8 / (x+5)(1-x) i tried the quotient rule but couldnt get the answer can u show how to do it? thanks

3. Hoa Group Title

you break the ln into 2 parts. because it is a quotient. so the right side = ln ((1-x) - ln (x+5)^3 . and then take derivative as usual, part to part. try that way.

4. Hoa Group Title

don't forget ln(x+5)^3 = 3ln(x+5). I checked and it works.

5. campbell_st Group Title

use some log laws to simplify the question $\ln(\frac{1-x}{(x + 5)^3}) = \ln(1 - x) - 3\ln(x + 5)$ once you get the derivatives... to simplify you will need a common denominator of (1 - x)(x + 5) cross multiply for the numerators.