The following function is given
f(x)=x^2-0.5x-3|x|,-1≤x≤1
a) What is its derivative f′(x)for x>0?
b) What is the derivative f′(x)for x<0?
c) Give the x-value where the derivative is not defined?
d) List the x coordinate of all the critical points of f(x)in the format (x1,x2,...,xn), for example (1,2,3)?
e) Which other x-values can give the maximum and minimum values of f(x)? List them in increasing order in the format in the format (x1,x2,...,xn), for example (1,2,3)?
f) Give the x-coordinate of a point where f(x)takes its maximum value?
g) Give the x-coordinate of a point where f(x)takes its minimum value?