Derivatives Example: Tangent Line to a Curve

in MES Sciencelast month

In this video I go over a useful example finding the equation of the tangent line to a curve at a given point. The derivative at that point is the same as the slope of the tangent line and this is used in determining the equation of the tangent line.


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Derivatives Example: Tangent Line to a Curve

Derivatives Example  Tangent line to a curve.jpeg

Example

Find an equation of the tangent line to the curve:

image.png

at the point (1, 1) and illustrate by graphing the curve and its tangent line.

Solution

image.png

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