Exam 3: Section 5: Differentiation

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Find Find   by implicit differentiation.  by implicit differentiation. Find   by implicit differentiation.

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Use logarithmic differentiation to find the derivative of Use logarithmic differentiation to find the derivative of   . .

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Find Find   by implicit differentiation given that   . Use the original equation to simplify your answer. by implicit differentiation given that Find   by implicit differentiation given that   . Use the original equation to simplify your answer. . Use the original equation to simplify your answer.

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Find Find   in terms of x and y.  in terms of x and y. Find   in terms of x and y.

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Evaluate Evaluate   for the equation   at the given point   . Round your answer to two decimal places. for the equation Evaluate   for the equation   at the given point   . Round your answer to two decimal places. at the given point Evaluate   for the equation   at the given point   . Round your answer to two decimal places. . Round your answer to two decimal places.

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Find an equation of the tangent line to the graph of the function given below at the given point. Find an equation of the tangent line to the graph of the function given below at the given point.   (The coefficients below are given to two decimal places.) (The coefficients below are given to two decimal places.)

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Use implicit differentiation to find Use implicit differentiation to find   at the point   .  at the point Use implicit differentiation to find   at the point   .  . Use implicit differentiation to find   at the point   .

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Find the points at which the graph of the equation has a vertical or horizontal tangent line. Find the points at which the graph of the equation has a vertical or horizontal tangent line.

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Use implicit differentiation to find an equation of the tangent line to the ellipse Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . at Use implicit differentiation to find an equation of the tangent line to the ellipse   at   . .

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Find an equation of the tangent line to the graph of the function Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places. at the point Find an equation of the tangent line to the graph of the function   at the point   .The coefficients below are given to two decimal places. .The coefficients below are given to two decimal places.

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