Question

please show step by step. Find the derivativr of the function f(x)= (3+x)/(1-3x).

Answer 1

the limit steps or the derivative rules steps?

Answer 2

the limit step please

Answer 3

f = rl ; f' = rl' + r'l

Answer 4

if i had a camera maybe id try it; but to try to type it all and keep it neat and orderly.... i cant see it :)

Answer 5

Use the quotient rule:

(ddx(3+x)(1-3x) - ddx(1-3x)(3+x))/(1-3x)^2

(1-3x)-(-3)(3+x)/(1-3x)^2

10/(1-3x)^2

Answer 6

quotient rule gets too messy; product rule is neater and easier to keep track of

Answer 7

ok

Answer 8

wel can you show me please

Answer 9

here's the work using the limit definition of the derivative (see attached)

Answer 10

oser wins the day :)

Answer 11

THANKS YOU SOOO MUCH OSER!! THAT WAS A GREAT UNDERSTANDING!!!! NOW IM KNOW WHERE I GOT STUCK AT