Find dy/dx by implicit differentiation.

Question

Quizplus · Accepted Answer

To find dy/dx, we need to differentiate both sides of the given equation with respect to x.

On the left side, we have y^2, so we apply the chain rule as follows:
d/dx (y^2) = 2y * (dy/dx)

On the right side, we have 3x^2 - 4xy. Applying the product rule, we get:
d/dx (3x^2 - 4xy) = 6x - 4y - 4x (dy/dx) = 6x - 4y - 4xy

Putting these together, we get:
2y * (dy/dx) = 6x - 4y - 4xy

Now, we can solve for dy/dx by dividing both sides by 2y:
dy/dx = (6x - 4y - 4xy) / (2y)

Simplifying this expression gives us:
dy/dx = 3x/y - 2 - 2x

Thus, the answer is B) 11ec1854_fdc3_cdeb_acfc_0364d3f9b1e2_TBX8702_11.

Find Dy/dx by Implicit Differentiation