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Unformatted text preview: Math 116  Lab 4  Fall 2011. Implicit differentiation, logarithmic differentiation, higher order derivatives, applications of derivatives: differentials, linear approximation and Newtons method (Sections 3.8, 4.1, 4.3 of L/G). You are to provide full solutions to the following problems. You are allowed to collaborate with your classmates, use your notes and textbook and ask the TA for guidance. Direct copying of solutions is not encouraged, nor is it allowed or ethical. Last name: First name: Student number: 1 Math 116  Lab 4  Fall 2011. Student number: Implicit differentiation, logarithmic differentiation, higher order derivatives, applications of derivatives: differentials, linear approximation and Newtons method (Sections 3.8, 4.1, 4.3 of L/G). 1. Use implicit differentiation to find a formula for y if x = ( y x ) 4 . Show all steps. 2. Find the equation of the tangent line to the curve 3 e cos( x ) + 7 e sin( y ) = 10 at the point ( 2 , ) . Show all steps....
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 Spring '11
 RobertAndre
 Calculus, Approximation, Derivative, Linear Approximation

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