Home
Class 12
MATHS
Let f(x) be a twice differentiable funct...

Let `f(x)` be a twice differentiable function for all real values of `x` and satisfies `f(1)=1,f(2)=4,f(3)=9.` Then which of the following is definitely true? `f^(x)=2AAx in (1,3)` `f^(x)=f(x)=5forsom ex in (2,3)` `f^(x)=3AAx in (2,3)` `f^(x)=2forsom ex in (1,3)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) be a twice differentiable function for all real values of x and satisfies f(1)=1,f(2)=4,f(3)=9. Then which of the following is definitely true? f'(x)=2AA x in(1,3)f'(x)=f(x)=5 for some x in(2,3)f'(x)=3AA x in(2,3)f'(x)=2 for some x in(1,3)

If f(x) is a twice differentiable function and given that f(1)=1,f(2)=4,f(3)=9, then

If f(x) is a twice differentiable function and given that f(1)=2,f(2)=5 and f(3)=10 then

if f(x) be a twice differentiable function such that f(x) =x^(2) " for " x=1,2,3, then

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)=x^(2)-3x+4 the values of x which satisfies f(1)+f(x)=f(1)*f(x) is

Let f be a differentiable function for all x and that |f'(x)|<=2 for all x. If f(1)=2 and f(4)=8 then compute the value of f^(2)(2)+f^(2)(3)

Let f(x)and g(x) be twice differentiable functions on [0,2] satisfying f''(x)=g''(x) , f'(1)=4 , g'(1)=6 , f(2)=3 and g(2)=9 . Then what is f(x)-g(x) at x=4 equal to ?

Let y=f(x) be a differentiable function such that f(-1)=2,f(2)=-1 and f(5)=3 then the equation f'(x)=2f(x) has