Question: Differentiate y = sin^2(x)cos^3(2x) - 3sin(x)cos^4(2x) with respect to x.
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What is the constant value c if the function f(x) = c is always the same, regardless of the input x? (
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What are the characteristics of the cubic function f(x) = x^3? Provide the axis of symmetry, y-intercept, and the behavior of the function as x approaches positive and negative infinity.