+91-87964 74404
FlagBACK
Question icon
Grade 12Differential Calculus

does there exist a function which is continuous everywhere but not differentiable at exactly two points? justify your answer.

Profile image of shruti
10 Years agoGrade 12
Answers icon

1 Answer

Profile image of Vikas TU
10 Years ago
Yes,
Take f(x) = |x-1| + |x-2|
For case 1. when x
f(x) = -x+1 – x + 2 = -2x + 3
 
case 2. when x > = 2
f(x) = x-1+x-2
     = 2x – 3
 
case 3
when  1
f(x) = x – 1 – x +2
     = 1
 
Draw the graph for this given interval and U will come to know that it is continuos and non – differentaible at exactly two point.
 
Like this there can be number of modulus function U can think.

Other Related Questions on differential calculus

question mark
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to  move once over to level a playground. find the area of the playground in square m?
differential calculus
1 Answer Available

Last Activity: 3 Years ago

question mark
Find dy/DX when y=x^sinx+sin-1√x.
 
Please give me the solution of this problem. 
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
1 Answer Available

Last Activity: 4 Years ago

question mark
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
1 Answer Available

Last Activity: 4 Years ago