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# Continuity and Differentiability Test Online Mcqs

 Test Name Continuity and Differentiability Test Subject Math Test Type Mcqs Total Question 7 Total Marks 14 Total Time 7 Test Help For All Admission Test All Jobs Test All Admission Entrance Exam General Knowledge

Differentiability is a stronger condition than continuity.In calculus a differentiable function of one real variable is a function whose derivative exists at each point in its domain.Relationship between differentiability and continuity. All differentiable functions are continuous, but not all continuous functions are differentiable. A function is differentiable anywhere its derivitive is defined. The derivative, describes the instantaneous rate of change or slope of a graph.If f is differentiable at a, then f is continuous at a. The converse to the Theorem is false. A continuous function need not be differentiable. In other words, We are going to provide you platform for free online mcqs Continuity and Differentiability Test in order to enhance your quantitative approach as well as understanding.

## Math

1. If f(x) = {1 - |x|/1 + x  , x ≠ -1
,then f ([2x]) is
1    , x = -1
(where [] represents the greatest integer function)

Question 1 of 7

2. The derivatives of log |x| is

Question 2 of 7

3. The function f(x) = |x|/x at x  = 0 has

Question 3 of 7

4. If the function f is defined by f (x) = x/1 + |x|, then at what points is f differentiable?

Question 4 of 7

5. If f(x + y) = f(x), f(y) and f(5) = 2, f(0) = 3, then the value of f(5) is

Question 5 of 7

6. Two functions
f(x) = { x sin1/x , x ≠ 0
0         , x = 0
g(x) = |x| are given, then at x = 0

Question 6 of 7

7. If f (x) = sin (ex - 2 - 1)/log (x - 1), x ≠ 2 is continuous at x = 2, then f(2) is equal to

Question 7 of 7

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