Question

Find the equation of the normal line to the curve ln(x/y)+y^3-2x=-1 at the point (1,1).

Answer 1

start by finding the slope of tangent line

Answer 2

slope of tangent line = y'

Answer 3

try to do implicit differentiation of given curve and find y'

Answer 4

ln(x/y) + y^3 - 2x = -1

Answer 5

ln(x) - ln(y) + y^3 - 2x = -1

Answer 6

differentiate both sides