For `b=1,\ ` if `y=f(x)=8x^3+4x^2+2bx+1` is non monotonic then the sum of all the integral values of `a\ in [1, 100],` is 4950 (b) 5049 (c) 5050 (d) 5047

For b=1,\ if y=f(x)=8x^3+4ax^2+2bx+1 is non monotonic then the sum of all the integral values of a\ in [1, 100], is

For b=1,\ if y=f(x)=8x^3+4ax^2+2bx+1 is non monotonic then the sum of all the integral values of a\ in [1, 100], is

Find the sum of all integral values of x in interval [-4,100] satisfing |2x-sqrt((2x-1)^(2))|=1

The sum of first 100 natural number is a)5000 b)4950 c)5050 d)5150

If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a point of inflection for the same value of x then the value of b is equal to -1 (b) 1 (c) 6 (d) -6

f(x)=x^2-2a x+a(a+1),f:[a ,oo)vec[a ,oo)dot If one of the solution of the equation f(x)=f^(-1)(x)i s5049 , then the other may be 5051 (b) 5048 (c) 5052 (d) 5050

Let f:R rarrR, f(x)=x^(4)-8x^(3)+22x^(2)-24x+c . If sum of all extremum value of f(x) is 1, then c is equal to

Let f:R rarrR, f(x)=x^(4)-8x^(3)+22x^(2)-24x+c . If sum of all extremum value of f(x) is 1, then c is equal to

f(x)=x^2-2a x+a(a+1),f:[a ,oo)⟶[a ,oo)dot If one of the solution of the equation f(x)=f^(-1)(x) is 5049 , then the other may be (a)5051 (b) 5048 (c) 5052 (d) 5050

If f(x)=ax^(2)+bx+c and f(x+1)=f(x)+x+1 , then the value of (a+b) is __