2.3- highlighted questions 5,11-19,21,27-33,33-38(tangent line only)
Exercises 2.3 Terms and Concepts 1. What is the name of the rule which states that (r) t)-e- sint-cost where n>0 is an integer? 2. What isInx? 3. Give an example of a function fix) where fx)-fx). 4. Give an example of a function x) where f(x) o. dx derivative rules introduced in this section explain how to compute the derivative of which of the following func- tions? 24.fe) = (1-x)" 25.7(x) = (2-3x), In Exercises 26-31, compute the first four derivatives of the given function & Explain in your own words how to find the third derivative of a function x) 7. Giveanexampleofafunction wherer(x) 0andf"(x)-29, Explain in your own words what the second derivative means 31. fx)-1.100 bn Exercises 32-37, find the equations of the tangent and 0ff(x) describes a position function, then f"(x) describes what kind of function? What kind of function isf"(x)? 9รยท lines to the graph of the function at the given point. 10. Letx) be a function measured in pounds, where x is mea- sured in feet. What are the units of() Problems in Exercises 11-25,compute the derivative of the given func- Review that 1, approximate the value of e using the tangent ine tofx)-e atx-o 15. fir) e 39. Approximate the value of (3.01) using the tangent line to
