# Implicit differentiation problem?

• October 20th 2008, 05:05 PM
JimDavid
Implicit differentiation problem?
Quote:

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
• October 21st 2008, 04:26 PM
JimDavid
anyone? (Crying)
• October 21st 2008, 04:50 PM
skeeter
1. find $\frac{dy}{dx}$

2. determine the slope of the tangent line by substituting x = 1 and y = 0 into the derivative expression, $\frac{dy}{dx}$.

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

remember this? ... $y - y_1 = m(x - x_1)$

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