Question

If y=(2x-1)/(3x+1), then (dx)/(dy)= ????

Answer 1

Do you know the quotient rule? u'v -uv'/v^2

Answer 2

yes

Answer 3

Use the quotient rule then.

Answer 4

\[\huge \frac{ (2x-1)dx(3x+1) - (2x-1)(3x+1)dx }{ (3x+1)^2 }\]

Answer 5

now simplify it..

Answer 6

5/(3x+1)^2 ????

Answer 7

Let's start with the top. u'v - uv'
the derivative of (2x-1) would be 2, right?
2(3x+1) - (2x−1)(3x+1)dx

Answer 8

yes

Answer 9

what's the derivative of 3x +1?

Answer 10

3