Week 1: Calculus I Practice Problem Solutions

this limit is 2f0(x 0). Problem 20. Compute the derivative d dx Z x2 0 e t2dt. Solution. By the fundamental theorem of calculus and the chain rule d dx Z x2 0 e t2dt= 2xe x4: Problem 21. Find the rst derivative of f(x) = x3 (6x2+1) 3 p (x+3)4 when x>0. ................
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