Question

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
y sin 2x = x cos 2y, (π/4, π/2)

Answer 1

dy/dx * sin2x + y* 2 cos2x = cos2y + x*-2sin2y* dy/dx

find dy/dx in terms of x and y

this will give the slope of the line

plug in the given values of x and y
and use the general form

y-y1 = m(x -x1) to get the required equation

Answer 2

I'm having trouble with finding dy/dx. I've been trying to understand implicit differentiation but it's not working out

Answer 3

you take y to be a function of x

eg x^2 y = y^2

use product rule to differentiate x^2 y

x^2 * dy/dx + y * 2 = 2y*dy/dx


to differentiate y^2 you use the chain rule

Answer 4

sorry but i gotta go
hope the above helps