Bats. It’s generally believed that baseball players can hit the ball farther with aluminum bats than with the traditional wooden ones. Is that true? And, if so, how much farther? Players on your local high school baseball team have agreed to help you find out. Design an appropriate experiment.
General Notes to be Aware of About Derivatives: I. A tangent line to a function at a point is the line that best approximates the function at that point better than any other line. II. The slope of the function at a given point is the slope of the tangent line to the function at that point. The derivative of f at x = a is the slope, m, of the function f at the point x = a (if m exists), denoted by f 0 (a) = m. All other notations: III. The function f(x) is differentiable at a point x0 if f 0 (x0) exists. If a function is differentiable at all points in its domain (i.e. f 0 (x) is defined for all x in the domain), then we consider f 0 (x) as a function and call it the derivative of f(x). IV. Theorem (The Extre