let f(x)=xInx, a) find the interval to decrease for f(x). b) the local extrema of f(x). c) the interval for the upward curve. d) the inflection point.
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The derivative of f(x) = xlnx is f'(x) = 1 + lnx. Setting this equal to zero gives x = e^-1. For x < e^-1, f'(x) < 0, so the function decreases on the interval (0, e^-1). b) The local extrema of the function occur where the derivative is zero or undefined. As we Show more…
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