For the equation given below evaluate y' at the point (1,2) 4x^3y-2x^2=6 y'at(1,2)=-5

Question

Answer 1

To evaluate

at the point \(( 2)\) for the given equation

, we need to implicitly differentiate the equation with respect to

.Starting with the given equation:

Differentiate both sides with respect to

:

Using the product rule on

:

Simplify:

Rearrange to solve for

:

Now, substitute

and

into the expression for

:

Thus, the value of

at the point \((1, 2)\) is

.

Soru