For the curve x+y=3xy which of the following is equal to (dy)/(dx) (3y)/(1-3x) (3y-1)/(1-3x) (3y+1)/(3x+1) (1)/(3x+1)

Question

Answer 1

To find the derivative of

with respect to

for the curve

, we need to implicitly differentiate both sides of the equation with respect to

.Starting with the given equation:

Differentiate both sides with respect to

:

Using the chain rule on the left side:

Simplify the right side:

Rearrange the equation to isolate

:

Isolate

:

Thus, the correct answer is:

So, the correct choice is:

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