MATH 205 Midterm: MATH 205 KSU Test 2s10
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15 Feb 2019
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Please read the problems carefully and do all you are asked to do. You can use the back page as a scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8. Di erentiate: (a)(6 points) f (x) = 5x + x1/3 2 ln x. (b)(6 points) g(t) = c t2 7 t5 1/ t. 2 (total points: 12). (a)(4 points) find the derivative of f (x) = (1 + x2)2006. (b)(4 points) find the derivative of f (x) = ex3. 1. (c)(4 points) find the derivative of f (x) = 8 qln(x). 3 (total points: 12). (a)(6 points) di erentiate p (t) = e2t ln(t) and simplify. (b)(6 points) find the derivative of y = x + 10. Find the value of a so that the function f (x) = x eax has a critical point at x = 3.