Please explain to me how you do it, thanksQuote:

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)

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- Oct 20th 2008, 05:05 PMJimDavidImplicit 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)

- Oct 21st 2008, 04:26 PMJimDavid
anyone? (Crying)

- Oct 21st 2008, 04:50 PMskeeter
1. find $\displaystyle \frac{dy}{dx}$

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

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

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

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