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Find the equation of the tangent line to a curve f(x) = x^2 + 2x + 1 at the point (-3, 4).

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In Exercises 25-32, (a) find an equation of the tangent line to the graph of f at the given point, (b) use a graphing utility to graph the function and its tangent line at the point and (c) use the derivative feature of a graphing utility to confirm your results.

26. f(x) = x^2 + 2x + 1 ... (-3, 4)
30. f(x) = sqrt(x - 1) ... (5, 2)
32. f(x) = 1/(x + 1) ... (0, 1)

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Solution Summary

This solution shows how to find the derivative of the function, the value of the derivative at the point, the equation of the tangent line at the point and graphs the original curve and the tangent line. This solution is provided in an attached Word document and PDF copy.

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