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4. (3 pts) There are 4 types of mistakes and/or notation issues in the problem below. Locate and correct them. Given f(x) = 10x2 +
4. (3 pts) There are 4 types of mistakes and/or notation issues in the problem below. Locate and correct them. Given f(x) = 10x2 + 11x - 1, find f' (x) using the limit definition of the derivative. f' (x) = lim f(x + h) - f(x) x-0 h [10(x + h)2 + 11(x + h)-1] -[10x2 + 11x - 1] = lim x-0 h 10x2 + 20xh + 10h2+ 11x +11h-1- 10x2 + 11x - 1 = lim X-0 h 20xh + 10h2+ 11h = lim x-0 h = lim 20x + 10h + 11 X-0 = lim 20x + 11 X-0 f' (x) = 20x+11
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