Let b be a nonzero real number. Suppose fL R R is a differentiable function such...

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Let b be a nonzero real number. Suppose fL R R is a differentiable function such that f(0) = 1. If the derivative f of f satisfies the equation f(x) b+x f'(x) = for all x = R, then which of the following statements is/are TRUE? (A) If b>0, then f is an increasing function (B) If b <0, then f is a decreasing function (C) f(x) f(-x) = 1 for all x = R (D) f(x)-f(-x) = 0 for all x R Let b be a nonzero real number. Suppose fL R R is a differentiable function such that f(0) = 1. If the derivative f of f satisfies the equation f(x) b+x f'(x) = for all x = R, then which of the following statements is/are TRUE? (A) If b>0, then f is an increasing function (B) If b <0, then f is a decreasing function (C) f(x) f(-x) = 1 for all x = R (D) f(x)-f(-x) = 0 for all x R

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