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Dy If y - 2x+3 then 3x+29 dx
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5 votes
Dy
If y
-
2x+3
then
3x+29
dx

Dy If y - 2x+3 then 3x+29 dx-example-1
User Colin Wheeler
by
5.9k points

1 Answer

5 votes

Answer:


y'=(-5)/((3x+2)^2)

Explanation:

Step 1: Write equation


y=(2x+3)/(3x+2)

Step 2: Find derivative

  1. Quotient Rule:
    y'=((3x+2)(2)-(3)(2x+3))/((3x+2)^2)
  2. Simplify:
    y'=((6x+4)-(6x+9))/((3x+2)^2)
  3. Simplify:
    y'=(-5)/((3x+2)^2)
User Saobi
by
5.8k points
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