Exam 2: Extension F: Limits and Derivatives

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Find an equation of the tangent line to the given curve at the indicated point. Find an equation of the tangent line to the given curve at the indicated point.     Find an equation of the tangent line to the given curve at the indicated point.

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The curve with the equation The curve with the equation   is called an asteroid.Find an equation of the tangent to the curve at the point (   ,1).   is called an asteroid.Find an equation of the tangent to the curve at the point ( The curve with the equation   is called an asteroid.Find an equation of the tangent to the curve at the point (   ,1).   ,1). The curve with the equation   is called an asteroid.Find an equation of the tangent to the curve at the point (   ,1).

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y = y =   x + 4 x + 4

Calculate Calculate      Calculate

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Find the tangent line to the ellipse Find the tangent line to the ellipse   at the point  at the point Find the tangent line to the ellipse   at the point

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Find dy/dx by implicit differentiation. Find dy/dx by implicit differentiation.

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