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- To find where a tangent meets the curve again, first find the equation of the tangent. Then use simultaneous equations to solve both the equation of the tangent and the equation of the curve. Each pair of x and y solutions corresponds to a coordinate (x, y) where the tangent intersects the curve.
mathsathome.com/equation-of-a-tangent/How to Find the Equation of a Tangent Line – mathsathome.com
Using derivatives to find the equation of the tangent. This video also shows how to find the coordinates of a point where the tangent meets the curve again.
- 5 min
- 11.6K
- Prashant Gohil
To find where a tangent meets the curve again, first find the equation of the tangent. Then use simultaneous equations to solve both the equation of the tangent and the equation of the curve. Each pair of x and y solutions corresponds to a coordinate (x, y) where the tangent intersects the curve.
This video screencast was created with Doceri on an iPad. Doceri is free in the iTunes app store. Learn more at http://www.doceri.com
- 7 min
- 1862
- Mark Willis
Jul 31, 2017 · Use implicit differentiation to find an equation of the tangent line to the curve at the given point $(2,4)$
Feb 2, 2016 · For $y=x^3$, tangent at A meets the curve again at B. Gradient at B is $k$ times the gradient at A.
For a line of the form (or any other form) y=mx+c, y = mx+c, we can find its slope by simply taking any two values of x, x, {x}_ {1} x1 and {x}_ {2}, x2, and their respective y y values, {y}_ {1} y1 and {y}_ {2} y2. We find the slope by the formula \tan \theta =\frac { {y}_ {1}- {y}_ {2}} { {x}_ {1}- {x}_ {2}} tanθ = x1−x2y1−y2.
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Apr 25, 2019 · This video explains how to find the equation of a tangent to a curve using differentiation.
