- Study guides, Class notes & Summaries

Exponential and Logarithmic Functions & Inverse Derivative-Questions and Answers Graded A+ If y=lnx, then y'= - ANSWER-1/x If y=lnu, then y'= - ANSWER-u'/u If y=eˣ, then y'= - ANSWER-eˣ If y=eᵘ, then y'= - ANSWER-u'×eᵘ If y=loga(x), then y'= - ANSWER-1/(xlna) If y=loga(u), then y'= - ANSWER-u'/(ulna) If y=aˣ, then y'= - ANSWER-aˣ(lna) If y=aᵘ, then y'= - ANSWER-aᵘ×u'×lna ln1 - ANSWER-0 e⁰ - ANSWER-1 lne - ANSWER-1 lneˣ - ANSWER-x ...

Logarithmic and Exponential Functions-Questions and Answers Graded A+ Definition one to one function - ANSWER-A function f with domain D and range R is one to one if whenever a≠b in D, then f(a)≠f(b) in R. Definition Inverse Function - ANSWER-Let f be a one to one function, a function g with domain R and range D is the inverse of f if y = f(x) and x = g(y) Guidelines for Finding f⁻¹ - ANSWER-Verify that f is one to one, solve y=f(x) for x in terms of y, obtaining x = f⁻¹(y). ...