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Definitions of tangent and normal, finding tangent and normal lines to a function
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​L:mx+c​ is tangent to ​f(x)​ at ​x=a​ means
Using point slope form the equation of the tangent is:
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The normal to ​f(x)​ at ​x=a​ is the line that passes through ​(a,f(a))​ and is perpendicular to the tangent:
Using point slope form the equation of the tangent is:
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