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Find the derivative of the function. s(t) = 1 + sin(t) 1 + cos(t) s'(t ) = Find dy/dx by implicit differentiation. xy + 4x + 5x2 = 2 y' Find the derivative of the function. y = sin(6x + 1) y' Find the derivative of the function. 3 g(U) - 3 g' ( u) = Find dy/dx by implicit differentiation. x8 + y = 3 y' Find dy/dx by implicit differentiation. x sin(y) + y sin(x) = 1 Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + y2 = (4x2 + 242 - x)2 (0, 0.5) (cardioid) y = X