Question: Consider the logarithmic function f(x) = log(base b) x, with b > 1. Graph f(x). What is the domain and range of f(x)? How does f(x) behave as x approaches infinity? How does it behave as x approaches zero from the right? How many x-intercepts does f(x) have, if any?
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What is the 4th order derivative of f(x) = sin(2x) - 3x^2 + 5?
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Math question: Factorize the expression 2x^2 - 5xy + 3y^2 using the distributive property.