Find the derivative of the function

Question

Answer 1

We are given

y = (7x + 4)/(7x - 6)

We will use the Quotient Rule for Differentiation

d/dx[u/v] = (vu' - uv')/v^2

Let

u = 7x + 4

u' = 7

v = 7x - 6

v' = 7

Putting this together we have

y' = [(7x - 6)(7) - (7x + 4)(7)] / (7x - 6)^2

= (49x - 42 - 49x - 28) / (7x - 6)^2

= -70 / (7x - 6)^2

Answer 2

y = 1 + 10/(7x - 6); y' = - 70/(7x - 6)²