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Home > CALC > Chapter 7 > Lesson 7.3.3 > Problem 7-134

  1. Find the equation of a line tangent to the graph of f(x) = arcsin x at x = . Homework Help ✎

    1. Use the tangent line to find an approximate value of f(0.52).

    2. Is your approximation an over or under estimate? Use the second derivative to justify your answer.

Because y = arcsin(0.52) is hard to evaluate, the tangent line at x = 0.52 will give a decent approximation of f(0.52).

and that will indicate if the tangent line is above or below the graph.