Velocity, Acceleration:
Acceleration, velocity: diff only  
Velocity, acceleration from position eq
Velocity, acceleration from position eq
Velocity, acceleration, max Height

 

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Tangent Line:
Horizontal tangent line to a quadratic:
Horizontal tangent line to a cubic:
Horizontal tangent line to a cubic:  
Tangent line to a quadratic at a given point: at (1,4).
Tangent and Normal lines at a point on a circle:
Tangent lines to cubic with given slope: where the slope is 10
Tangent line to a rational function at a given point: tan line to at .
Tangent line to a linear plus a reciprocal at a point: tan line to at the point .
Tangent line to a fractional power at a given point: tan line to at the point .
Tangent line to a linear plus a radical at a given point: tan line to at the point .
Tangents to a parabola through a given point: For , two tan lines through .
Tangent line for a parametric curve: parabola: For what values of a and b is the line
 tangent to the parabola , when .
 

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Normal Line:
Normal line to a parabola: Normal to at .
Normal line to a parabola: Normal to at .
Normal line at a point on a cubic: Point on curve where normal has slope -12.
Normal line to a parabola, its other point of intersection: Normal line to at .

Max-Min:
Min dist from  
Maximize a box
Maximize area of 3 pens with a fixed length of fencing
Minimize the sum of two numbers
Maximize the product of two numbers

Mean Value Theorem:  
Mean Value Theorem and parabola

Rolle's Theorem:  
Rolle's Theorem and cubic  
   
 

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Rates
Rate of a chemical reaction
Bubble
Race Car
Piston
Point moving on a Cosine Curve
Related rates: V-shaped tank:  

Business Problems
Minimize Average Cost:
Minimize Construction Cost
Maximize Revenue:
Maximize Profit: ,
Maximize Truck Rental Profit