Sunday, September 27, 2020

Quotient Rule to Find a Tangent Line with a Certain Slope (2.3 #77)

 Quotient Rule to Find a Tangent Line with a Certain Slope (2.3 #77)



After using the quotient rule to find a formula for slope, we set it to a certain slope to find when the function has that slope.  To get the equation of the line, we use the original function to find the y coordinate, and place it in the "Point-Slope" form of a linear equation: y-Y = m (x-X) where the point is (X,Y) and m is the slope. 

Finally we use the calculator to check our work both graphically as well as numerically.

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