Difference between revisions of "Tangent approximation"
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<math> y - y' = \frac{dy}{dx}\ x - x'</math> | <math> y - y' = \frac{dy}{dx}\ x - x'</math> | ||
| − | When | + | When <math> (x',y') </math> is a known point on the line. |
Revision as of 13:31, April 5, 2008
The tangent approximation method is a method in Calculus employed to find the equation of a line tangent to the curve. One must know the slope of the curve and a point on the curve. The slope is usually found by taking the derivative of the equation and equating it to the change in y over the change in x:
<math> \frac{dy}{dx}\ = \frac{rise}{run}\ = \frac{y - y'}{x - x'}\ </math>
Utilizing cross-multiplication, this yields:
<math> y - y' = \frac{dy}{dx}\ x - x'</math>
When <math> (x',y') </math> is a known point on the line.