Derivative of Inverse Functions:
Restrictions on the domain of the original function
Restrictions on the range of the inverse function
Inverse of Inverse Tangent:
Inverse of Cosecant
Graph of Inverse Cosecant:
Inverse of Cotangent:
Graph of Inverse Cotangent:
Answers to 14-24 on Pg.151
Hw: Do 13-33 Odd on Pg.157
In class we went over the second Derivative Quiz and completed a worksheet on Implicit Differentiation.
Bonus problem on the quiz:
Implicit Differentiation problem: #12 on pg. 171
– Read Section 4-5 on pgs. 145-148
– Review trig identities and the unit circle for a trigonometry quiz next class
In class we found the derivative of natural logs and exponential functions
Derived that the derivative for the natural log is one over the argument
To find the derivative of an exponential function take the natural logs of both sides. Don’t forget that y is a function of x so the chain rule applies.
Homework due next class-
1,3,5 on page 171
Question 3 of Part II implicit class sheet
In class we went over the homework. Here are the problems we went over and the equations we went over.
The homework is to finish test corrections for tuesday, and study for a quiz on identities and the unit circle.