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In this video you will learn how to solve a hard example by finding the Equation of the Tangent Line to the Curve xy^2+2xy-14x=14 at the point (-1,-2) by using Implicit Differentiation.
1:09 Differentiating both sides the first time
1:53 Solving for y' (y single prime)
2:37 Using the given point (-1,-2) to find the exact y'-value
3:26 Using point-slope formula in which point (-1,-2) and found y'-value (slope) are needed to write the Equation of the Tangent Line
Related Videos to this topic:
Implicit Differentiation: Equations of Lines Tangent to the Curve & Passing through given Point
https://youtu.be/ZgzF_9rIDTQ
Implicit Differentiation: finding Second Derivative
https://youtu.be/AKk7kPZ8pVk
Implicit Differentiation: finding Third Derivative
https://youtu.be/T4gan6F_JFE
Implicit Differentiation: Proving the Derivative Power Rule
https://youtu.be/nu4yJiU5z4M
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