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Find an equation of the tangent line to the curve at the given point.

\(f(x)=x^3-3x+1\)       (2,3)

 Feb 11, 2019
 #1
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Slope of this equationa at any given x is given by the derivative

 

3x^2 - 3   = slope 

 

At x = 2   slope ==   3(2)^2 - 3 = 9 

 

Tangent line    y = 9x + b

                    At 2,3      3= 9(2)+b     b = -15

y=9x-15

 Feb 11, 2019
edited by ElectricPavlov  Feb 11, 2019

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