Thread: Implicit differentiation problem?

Find the lines that are a) tangent and b) normal to the curve at the given point.

y= 2 sin (pi x-y) (1,0)

Please explain to me how you do it, thanks

anyone?

1. find

2. determine the slope of the tangent line by substituting x = 1 and y = 0 into the derivative expression, .

3. use the point-slope form of a linear equation to find the tangent line equation.

remember this? ...

4. the normal line passes through the same point and is perpendicular to the tangent line ... use the perpendicular slope and repeat step #3.