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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
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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.

Continuity and Differentiability Test Online Mcqs

Math

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

Question 1 of 7

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

Question 2 of 7

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

Question 3 of 7

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

Question 4 of 7

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

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. The derivatives of log |x| is

Question 7 of 7


 

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