Question: If f(x) = 2x 2 + 1, estimate the instantaneous rate of change of f(x) when x = 4. Then calculate the equation of the

  1. If f(x) = 2x2 + 1, estimate the instantaneous rate of change of f(x) when x = 4. Then calculate the equation of the tangent line. (Leave in y=mx+b form)
  2. Determine the value of b so that the average rate of change of the parabola y= -2x2 + bx + 3 over the interval -1 =< x =< 2, is 4.

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