Question

If 4 x^2+ 3 x + xy = 4 and y( 4 ) = -18, find y'( 4 ) by implicit differentiation

Answer 1

Find the derivative of 4x^2+3x which is just a normal polynomial and for xy use the product rule.

Answer 2

the only thing that throws me off is finding y'(4)

Answer 3

Worry about that after, find the derivative first :)

Answer 4

the derivative is 8x+3+y/x

Answer 5

Remember derivative of y = y*y'

Answer 6

make sure you make = 4 to 0 lol forgot to mention that earlier since derivative of a constant = 0.