What are the characteristics of the exponential functions f(x) = 10^x and f(x) = e^x? How are they similar and how do they differ? Discuss their growth rates, domains, ranges, and behavior as x approaches positive and negative infinity.
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Find the derivative of f(x) = 3x^4 - 4x^3 + 2x^2 + 7x + 1.
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What are the four characteristics of an ellipse function?