Question

find the equation of the tangent line to the curve y+sin(x+2y)=1 at the origin

Answer 1

differentiate
dy/dx + cos(x + 2y)* (1 + 2 dy/dx) = 0

now find dy/dx in terms of x and y to give the slope of the tangent line

then use the general form
y - y1 = m(x - x1) where (x1,y1) will be (0,0)

Answer 2

ok sir thanks for the idea :) i'll just follow it to answer my homework :)

Answer 3

oh: - when you have done the first part (finding the slope m) plug in x = 0 and y = 0