Given f(x) = 3x2 2x + 1, we wish to compute f'(2) using the definition f'(a)...

 

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Given f(x) = 3x2 2x + 1, we wish to compute f'(2) using the definition f'(a) = lim h→0 Notice this is an indeterminate of the form f(2+h)- f(2) (a) Simplify h FORMATTING: The answer must be a polynomial in h in its simplest form. f(2+h)-f(2) h (b) Compute f'(2) = lim h→0 = f(a+h)-f(a) h Given f(x) = 3x2 2x + 1, we wish to compute f'(2) using the definition f'(a) = lim h→0 Notice this is an indeterminate of the form f(2+h)- f(2) (a) Simplify h FORMATTING: The answer must be a polynomial in h in its simplest form. f(2+h)-f(2) h (b) Compute f'(2) = lim h→0 = f(a+h)-f(a) h