Home
Class 12
MATHS
[" If "f(x)=(x)/(sqrt(x+1)-sqrt(x))" be ...

[" If "f(x)=(x)/(sqrt(x+1)-sqrt(x))" be a real valued function "],[" then: "],[0" f(x) is continuous,but "f'(0)" does not "],[" exist "],[" O "f(x)" is differentiable at "x=0],[" O "f(x)" is not continuous at "x=0],[" (x) is not differentiable at "x=0]

Promotional Banner

Similar Questions

Explore conceptually related problems

Assertion (A) : f(x) = xsin ((1)/(x)) is differentiable at x=0 Reason (R): F(x)is continuous at x=0

Show that the function f(x)=x|x| is continuous and differentiable at x = 0

[" Let "f(x)=(x+|x|)" .Then for all "x],[" O "f" is continuous but not differentiable at "x=0],[" 0"f'" is differentiable for all "x" ."],[" 0"f'" is continuous but not differentiable at "x=0],[" O "f'" is continuous for all "x]

If f(x) = 3(2x + 3)^(2//3) + 2x + 3 , then: (a) f(x) is continuous but not differentiable at x = - (3)/(2) (b) f(x) is differentiable at x = 0 (c) f(x) is continuous at x = 0 (d) f(x) is differentiable but not continuous at x = - (3)/(2)

Suppose that f(x) is a differentiable function such that f'(x) is continuous, f'(0) = 1 and f"(0) does not exist. Let g(x) = xf'(x). Then

Let f(x) be a real valued function such that f(a)=0. If g(x)=(x-a)f(x) is continuous but notdifferentiable at x=a and h(x)=(x-a)^(2)f(x) is continuous and differentiable at x=a .Then f(x)

Let f(x)={(x^(p)"sin"1/x,x!=0),(0,x=0):} then f(x) is continuous but not differentiable at x=0 if