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Home > CALC > Chapter 7 > Lesson 7.4.1 > Problem 7-177
7-177.
Given:
Write the equation of the tangent line to
at . Use point-slope form of a line.
will give you the point, and will give you the slope. Use your tangent line to approximate
. Since a linear equation is easier to evaluate than a 4th-degree polynomial, use the tangent line to approximate
. Is the approximation an over or under estimate of the actual value?
Is the graph of
concave up or down ?