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 <math> (x',y') </math> is a known point on the line. | + | 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:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{dy}{dx}\ = \frac{rise}{run}\ = \frac{y - y'}{x - x'}\ }
Utilizing cross-multiplication, this yields:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y - y' = \frac{dy}{dx}\ x - x'}
When Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ( x' , y' ) } is a known point on the line.