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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 )( xa ) 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 xvalues are to a, the better the straight line approximates the function. dy =′ f ( x ) dx dy is the “differential” ; it is the change in yvalues along the tangent line give a certain change in the xvalues. dy approximate ∆ y ; ∆ y is the actual change in yvalues along the function given a certain change in the xvalues....
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This note was uploaded on 04/03/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.
 Spring '07
 WEARS
 Math, Derivative, Rate Of Change

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