Question

if y=4x^2+9x^2=36 find dy/dx by implicit differentiation

Answer 1

Answer:

am sure you wanted y'

8x - 18y dy/dx = 0

-18y dy/dx = -8x

dy/dx = 8x/(18y) = 4x/(9y)

-9y^2 = 36 - 4x^2

y^2 = (4x^2 - 36)/9

y = (4x^2 - 36)^(1/2) /3

dy/dx = (1/6) (4x^2 - 36)^(-1/2) (8x)

= (4/3)(x)(4x^2 - 36)^(-1/2)