Question

How do you use implicit differentiation to find `(dy)/(dx)` given `16x^2+25y^2=400`?

Answer 1

`(dy)/(dx) = -(16x)/(25y)`

Explanation:

Differentiate both sides of the equation with respect to `x`:

`d/(dx) (16x^2 + 25y^2) = 0`

`32x + 50yy' = 0`

`y' = -(16x)/(25y)`