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Second Derivatives of Parametric Equations With Concavity
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This calculus 2 video tutorial explains how to find the second derivative of a parametric curve to determine the intervals where the parametric function is concave upward or concave downward.
Derivatives of Parametric Functions:
Tangent Lines of Parametric Curves:
2nd Derivative - Parametric Equations:
3rd Derivative of Parametric Curves:
___________________________________
Horizontal & Vertical Tangent Lines:
Area of Parametric Curves:
Arc Length of Parametric Curves:
Surface Area of Parametric Curves:
Polar Coordinates - Introduction:
Tangent Line Equations - Polar Form:
____________________________________
Horizontal & Vertical Tangents - Polar:
Area of Polar Curves:
Area Between Polar Curves:
Arc Length of Polar Curves:
Surface Area of Polar Curves:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
Derivatives of Parametric Functions:
Tangent Lines of Parametric Curves:
2nd Derivative - Parametric Equations:
3rd Derivative of Parametric Curves:
___________________________________
Horizontal & Vertical Tangent Lines:
Area of Parametric Curves:
Arc Length of Parametric Curves:
Surface Area of Parametric Curves:
Polar Coordinates - Introduction:
Tangent Line Equations - Polar Form:
____________________________________
Horizontal & Vertical Tangents - Polar:
Area of Polar Curves:
Area Between Polar Curves:
Arc Length of Polar Curves:
Surface Area of Polar Curves:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
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