Differential calculus Let C(t) be the number of pDifferential calculus Let C(t) be the number of people in the US that have cancer as a function of years since 1950, t. Interpret the derivative of C at 67. State the definition of dC/dt (t). Use the definition of the derivative to calculate dC/dt (t) if C(t) = 100 + t^2. (You will get no credit for using the power rule here.) Write the definition of the derivative of c(t) = 100t^2 middot e^.01t Present the product rule, power rule, chain rule, and constant multiple rule. (These are theorems. That is, these are facts.) Use those rules to calculate the derivative of c(t) = 100t^2 middot e^.01t, indicating where you use each rule.Show transcribed image text