If y = y(x) is an implicit function of x such that loge (x + y) = 4xy, then d^2y/dx^2 at x = 0 is equal to _______.

Question

If y = y(x) is an implicit function of x such that log_e (x + y) = 4xy, then \(\cfrac{d^2y}{dx^2}\) at x = 0 is equal to _______.

Answer 1

ln(x + y) = 4xy  (At x = 0, y = 1)

x + y = e^4xy