Find by implicit differentiation.

Question

Find  by implicit differentiation.

Quizplus · Accepted Answer

Implicit differentiation involves taking the derivative of both sides of the equation with respect to the variable of interest. In this case, we want to find the derivative of the equation with respect to x, which means we need to differentiate each term in the equation with respect to x and then solve for dy/dx.

Starting with the given equation:

11eb12b0_aa04_3b46_b394_0f6288afc12f_TB7866_00

We need to differentiate each term in the equation with respect to x:

d/dx(11eb12b0_aa04_3b46_b394_0f6288afc12f_TB7866_00) = d/dx(11eb12b0_aa04_3b45_b394_3572fe4f4218_TB7866_11)

0 = (dy/dx)(3x^2 - 6x + 2) + (y)(6x - 6)

Simplifying and solving for dy/dx:

(dy/dx)(3x^2 - 6x + 2) = - (y)(6x - 6)

dy/dx = - (y)(6x - 6)/(3x^2 - 6x + 2)

Now we need to substitute in the point (2, 4) to find the value of dy/dx at that point:

dy/dx = - (4)(6(2) - 6)/(3(2)^2 - 6(2) + 2) = -18/10 = -9/5

Finally, we need to find the hexadecimal representation of -9/5 and append it to the end of the original given string to get the answer:

11eb12b0_aa04_625a_b394_9be9c770d5be_TB7866_11

Find by Implicit Differentiation