[" 20.verefy Mov."T" for "f(x)=x(x-1)(x-2)],[" eiv the eirterval "[0,(1)/(2)].]

Let f(x)=x^(3)-x^(2)-x+1 and g(x)={max{f(t);0<=t<=x},0<=x<=1,3-x,1<=x<=2 Discuss the continuity and differentiability of the function g(x) in the interval (0,2).

Let f (x) = x^3-x^2-x+1 and g(x) = {max{f(t); 0<=t<=x}, 0<=x<=1, 3-x, 1<=x<=2 Discuss the continuity and differentiability of the function g (x) in the interval (0, 2).

If f(x)=x+int_(0)^(1)t(x+t)f(t)dt, then the value of (23)/(2)f(0) is equal to

If f(x)=int_(0)^(1)(dt)/(1+|x-t|),x in R . The value of f'(1//2) is equal to

If f(x)=int_(0)^(1)(dt)/(1+|x-t|),x in R . The value of f'(1//2) is equal to

If f(x) = 1/x^(2) int_2^(x)[t^(2)+f^(')(t)]dt, then f^(')(2) =

f(x)=int_(0)^( pi)f(t)dt=x+int_(x)^(1)tf(t)dt, then the value of f(1) is (1)/(2)

If int_(0)^(x)f(t)dt=x^(2)+int_(x)^(1)t^(2)f(t)dt, then f'((1)/(2)) is