If f(x) is a differentiable function satisfying |f'(x)| le 2 AA x in [0, 4] and f(0)=0 , then
If f(x) is a differentiable function satisfying |f'(x)|le4AA x in [0, 4] and f(0)=0 , then
If f (x) is continous on [0,2], differentiable in (0,2) f (0) =2, f(2)=8 and f '(x) le 3 for all x in (0,2), then find the value of f (1).
Let f(x) be a continuous & differentiable function on R satisfying f(-x)=f(x)&f(3+x)=f(3-x)AA x in R . If f'(1)=-5 then f'(7) =
Let f(x) is a continuous function on [-7,0] and differentiable function on the interval (-7,0) such that f(-7)=-3 and given that f'(c)<=2 for c in(-7,0) .If the largest possible value of f(0) is k .Then the value of (k)/(3) is
Let f(x) be continuous and differentiable function for all reals and f(x + y) = f(x) - 3xy + ff(y). If lim_(h to 0)(f(h))/(h) = 7 , then the value of f'(x) is
If f is a differentiable function for all real x and f ' (x) le 5 AA x in R. If f (2) = 0 and f (5) = 15 value of f (3) is _________.
