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Unformatted text preview: and use implicit differentiation to find dx / dy . Remember that sin 2 x means (sin( x )) 2 . y sec x = x tan y dx / dy = Student Name: 11 ) Find an equation of the tangent line to the curve at the given point y = 12 ) Find an equation of the tangent line to the curve x 2/3 + y 2/3 = 4 at the given point y = 13 ) Find the points on the lemniscate, given below, where the tangent is horizontal. 14 ) Find the derivative of the function. Simplify if possible. y ' = 15 ) Find the derivative of the function. Simplify if possible. y = sin-1 ( 4 x + 2 ) y ' = 16 ) Find the equations of both the tangent lines to the ellipse x 2 + 4 y 2 = 36 that pass through the point (12,3). y = (horizontal tangent line) y = (non-horizontal tangent line)...
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