the function given were differentiated implicitly.Determine whether the indicated derivative for the function is true or false.

Question

the function given were differentiated implicitly. Determine whether the indicated derivative for the function is true or false.

Answer 1

Doing the implicit derivation

2xy² + 2x²yy' + y'sin x + ycos x = 0

y'(2x²y + sin x) = -2xy²-ycos x

y' = (-2xy²-ycos x)/(2x²y+sin x) ≠ (2xy²+ycos x)/(2x²y-sin x)

False