Topics to be covered: Differential Calculus and Integral Calculus Q#1 Find: (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c) the open intervals onwhich f is concave up, (d) the open intervals on which f is concave down, and (e) the x-coordinates of all inflection points. i) f(x)=x^2-3x+8 ii) f(x)=(2x+1)^3 iii) f(x)=3x^4-4x^3 iv) f(x)=(x-2)/(x^2-x+1)^2 v) f(x)=(3&x^2+x+1) vi) f(x)=(x^(23)-1)^2