RELATED RATES PLAYLIST: https://goo.gl/85bbsG
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In this video you will learn how to use Implicit Differentiation for Related Rates to find the point at which one coordinate moves twice as fast as the other when a random point moves along the given curve.
If a point moves along the curve y=x^2-2x, at what point is the y-coordinate changing twice as fast as the x-coordinate?
0:10 Understanding keywords in the problem - translating to rate of change terms for Implicit Differentiation
1:52 Creating an equation with different rates of change and variables
2:29 Using given equation y=x^2-2x and differentiating it implicitly with respect to time t
3:13 Using the first equation for substitution to solve for x-coordinate
4:29 Finding the y-coordinate using the found x-coordinate
Related Videos to this topic:
Related Rates: Kite problem
https://youtu.be/JkKr1hDYDBQ
Related Rates: Boat problem
https://youtu.be/GU10f0HKFTg
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https://youtu.be/qgBzwrb5AcQ
Related Rates: Shadow Problem {lamp post; finding shadow LENGTH rate of change s'(t)}
https://youtu.be/A_IA-X44e2w
Related Rates: Cone Problem - finding h'(t)
https://youtu.be/QLYwZJAFlfE
Related Rates: Trigonometry Problem - finding max θ'(t)
https://youtu.be/n-MmcwC60jY
Related Rates: Complex Trigonometry Problem {θ'(t)=-θ1'(t)-θ2'(t)}
https://youtu.be/h0gZo3FbV6Y
Related Rates: Sliding Ladder Problem - finding x'(t)
https://youtu.be/BQGjhejoUNI
Related Rates: Oil Spill Problem - finding r'(t)
https://youtu.be/MLHC96qqbQ0
Related Rates: 3-Variable Problem - 2 approaching cars, finding d'(t)
https://youtu.be/-xduJ7ybPX4
Related Rates: Sphere Problem {finding r when S'(t)=r'(t)}
https://youtu.be/J83SK31jQD0
Related Rates: Balloon Problem - finding S'(t)
https://youtu.be/vtytsSlSRGc
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