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Unformatted text preview: Sec. 3.5 The Chain Rule Sec. 3.6 Implicit Differentiation Derivative of inverse sine function and inverse tangent function Sec. 3.7 Derivative of Logarithmic Functions Method of logarithmic differentiation Sec. 3.8 Linear Approximation and Differentials L ( x ) = f ( a ) + f ( a )( x-a ) The linearization of f at x=a is the tangent line to the curve f(x) at x = a. It is the best straight line approximation to the curve f(x) at x=a. The closer the x-values are to a, the better the straight line approximates the function. dy = f ( x ) dx dy is the differential ; it is the change in y-values along the tangent line give a certain change in the x-values. dy approximate y ; y is the actual change in y-values along the function given a certain change in the x-values....
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