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3 years ago

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

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

6 0

Answer:

$y'=\frac{-5}{(3x+2)^2}$

Step-by-step explanation:

Step 1: Write equation

$y=\frac{2x+3}{3x+2}$

Step 2: Find derivative

Quotient Rule: $y'=\frac{(3x+2)(2)-(3)(2x+3)}{(3x+2)^2}$
Simplify: $y'=\frac{(6x+4)-(6x+9)}{(3x+2)^2}$
Simplify: $y'=\frac{-5}{(3x+2)^2}$

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