Lab 3: Secant and Tangent Lines



2. The secant line of \( f(x) \) from \( x = a \) to \( x = b \) is the line that goes through the point \( (a, f(a)) \) and \( (b, f(b)) \). The SageMath app below computes and graphs this line for \( a = 1 \) and, by default, \(f(x) = x^2\) and \(b=4\) (though you can change these values). This app also computes and graphs the tangent line of \( f(x) \) at \( x = a \). Use the app below to answer the questions in your lab report. Note that you will need to change \( f(x) \) and \( b \) from their default values.


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