Question
Let f be a differentiable function on R defined by f(x)=5−(x+1)2. Let A be the point of intersection where the tangent line drawn to the graph of y=f(x) at the point P(x,f(x)) intersects with x-axis and B be the intersection point where the tangent line at P(x,f(x))intersects with y-axis. If S(x) denotes the area of ΔAOB, where O is the origin, then the minimum value of S(x) in the interval [0,1] is equal to pq, p and q being relatively prime. The value of p+q is