Math Question: Consider the quadratic function f(x) = ax² + bx + c. For a = 1 and c = 4, what is the value of b such that the graph of f(x) passes through the vertex (2, 6)?
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Math question: Find the eighth-order derivative of f(x) = 3x^6 - 2x^3 + 5x - 1.
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Find the derivative of f(x) = sin(3x) - cos(2x) at x = π/4.