Mr. Rose’s Math Blog

Find dy/dx if  y=arctan(e^x·ln(secx)).  Show all work for full credit.

For the following, find the equation(s) of the tangent lines to the graph when x=1.  Is the equation a function?  Why or why not.

A certain rational function f(x) contains quadratic functions in both its numerator and denominator. Aside from that, we also know the following things about f:

• f has a vertical asymptote at x = 5
• f has a single x-intercept of x = 2
• f is removably discontinuous at x = 1, and the limit as x →1 of f(x)=-1/9

Based on these  clues, evaluate:

(a) f(0)

(b) lim f(x) as x→∞

Be sure to show all your work.  Ask questions if you need help.  Also be sure you thoroughly understand your answer, if I ask you, you should be able to explain how you got your answer. 

 

page 87:  6,10,12,23,24,30,36.  FYI, test on chapter 4 coming up soon.