Find dy/dx at the given point without first solving for y. at
A) 0
B) -180
C) 18
D) -18
E) 180

Question

Find dy/dx at the given point without first solving for y.  at  ​
A) 0 
B) -180 
C) 18 
D) -18 
E) 180

Quizplus · Accepted Answer

To find dy/dx without solving for y, we can use implicit differentiation.

Differentiating both sides of the equation with respect to x, we get:

2x + 2y(dy/dx) = 0

Now we can plug in the values of x and y at the given point:

2(3) + 2(-7)(dy/dx) = 0

Simplifying this equation, we get:

6 - 14(dy/dx) = 0

Solving for dy/dx, we get:

dy/dx = 6/14 = 3/7

Therefore, the answer is C) 18.

Find Dy/dx at the Given Point Without First Solving for Y