letter to a friend problem 2 12 points we have seen several interpreta

Question

Letter to a Friend: Problem 2 (12 points). We have seen several interpretations of the derivative: (a) As a proportionality constant that relates the approximate change in the output of a function to a small change in its input. (b) As the instantaneous rate of change of a function. (c) As the slope of a tangent line to the graph of a function. We have seen several ways to compute approximate the derivative:or (a) Numerical approximation. (b) The definition of the derivative (Definition 1 on page 141). (c) The power rule, product and quotient rules, and chain rules of Sections Choose two of the following types of functions: (а) Епропеntial (b) Trigonometric (c) Rational (а) а function with square rоots