1. You are given a function f(x)=sin x+ b cos x. Which of the following relationships will ensure that a local extremum occurs at x=k in the interval (0,pi/2) what relationships will ensure that an inflection point occurs atx=kin the interval (0pi/2)
2. Where does f(x)=x^3+3x^2-5x-2 have a local maximum, what is the x-value of the inflection points of f(x)
3. A polynomial function p(x) has degree 3. What shape will p'(x) and p'''(x) have
4. Find f'(x) for f(x)=2^xln(x+1)
5. Find the linearization L(x) for f(x)=(1+x)^4 at x=0 and use it to find an approximation of f(-0.2)
6. What is the value of lim x->0^- f(x) where f(x)=x+|x|/x