Question

6)
A) let f(x) = x^4 -4x on (a,b) = (0,2). Find c in (0,2) suck that c satisfies the mean value theorem derivative of c = {f(b)-f(a)}/ b-a
B) sketch the graph of a function that satisfies all the given conditions:
A) f(-1)=4 b) f(1)=0 c)f’ (1)= 0 d) f’ (-1) does not exist
And
F’(x) <0 if -1 0 if x>1 or x<-1 And f” (x) >0 if x doesn’t equal 1 And fx is continuous everywhere.