1. (25 points) Define f(x) = x2 + x + 1. = (a) Use the definition of the derivative to verify that f'(:1) = 2.6 +1. (b)
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1. (25 points) Define f(x) = x2 + x + 1. = (a) Use the definition of the derivative to verify that f'(:1) = 2.6 +1. (b)
1. (25 points) Define f(x) = x2 + x + 1. = (a) Use the definition of the derivative to verify that f'(:1) = 2.6 +1. (b) Use the quotient rule to determine g'(x) where g(0) x2 + 12 f(0) (c) Determine the intervals on which g is increasing and decreasing. Explain using calculus! (d) Does g have any local extrema? Explain why or why not. (e) Does g have any global extrema? Explain why or why not.
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