Finding The Linearization of a Function Using Tangent Line Approximations
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Finding The Linearization of a Function Using Tangent Line Approximations
This calculus video tutorial explains how to find the local linearization of a function using tangent line approximations. It explains how to estimate function values by writing the equation of the tangent line and evaluating it. This video contains plenty of examples and practice problems on local linear approximation and differentials ...
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43. a. Write the equation of the line that represents the linear approximation of the following function at the given point.b. Use the linear approximation to estimate the given quantity.c. Compute the percent error in your approximation, 100|approximation - exact|/|exact|, where the exact value is given by a calculator.f(x) = 3/64 x; a = 0; 3/62.5a. L(x) = b. Using the linear approximation, 3/62.5   Type an integer or a decimal.(Round to four decimal places as needed.
43. a. Write the equation of the line that represents the linear approximation of the following function at the given point.b. Use the linear approximation to estimate the given quantity.c. Compute the percent error in your approximation, 100|approximation - exact|/|exact|, where the exact value is given by a calculator.f(x) = 3/64 x; a = 0; 3/62.5a. L(x) = b. Using the linear approximation, 3/62.5   Type an integer or a decimal.(Round to four decimal places as needed.
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