Question

Find the derivative of y with respect to x,t or theta as appropriate.
(a) y= ln(x)/x^6
(b) y= ln((1-x)/(x+5)^3)

Answer 1

(a) use quotient rule

Answer 2

what do you do after that

Answer 3

simplify if needed

Answer 4

thanks

Answer 5

yw :)

Answer 6

i got (x^6(ln) - ln(x) (6x^5))/x^12
the answer is 1-6ln(x)/x^7
im stuck with simplifying

Answer 7

i would always change those equations into product rule

Answer 8

\[y = \ln(x).x^{-6}\]

Answer 9

\[=x^{-1}x^{-6}-6x^{-7}\ln(x)\]

Answer 10

\[=x^{-7}-6x^{-7}\ln(x)=x^{-7}(1-6\ln(x))\]

Answer 11

as for the 2nd problem the answer would be

Answer 12

=[-1/(1-x)(x+5)^3] -[3ln(1-x)/(x+5)^4]

Answer 13

thank you