Text Solution
Verified by Experts
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
RD SHARMA-DIFFERENTIABILITY-Solved Examples And Exercises
- Write the points of non-differentiability of f(x)=|log|x|| .
Text Solution
|
- Write the derivative of f\ (x)=|x|^3 at x=0 .
Text Solution
|
- Write the number of points where f(x)=|x|+|x-1| is continuous but n...
Text Solution
|
- If (lim)(x->c)(f(x)-f(c))/(x-c) exists finitely, write the value of...
Text Solution
|
- Write the value of the derivative of f(x)=|x-1|+|x-3| at x=2 .
Text Solution
|
- If f(x)=sqrt(x^2+9) , write the value of (lim)(x->4)(f(x)-f(4))/(x-4) ...
Text Solution
|
- Let f(x)=|x| and g(x)=|x^3| , then f(x) and g(x) both are continuous a...
Text Solution
|
- The function f(x)=sin^(-1)(cosx) is discontinuous at x=0 (b) continuou...
Text Solution
|
- The set of points where the function f(x)=x|x| is differentiable i...
Text Solution
|
- If f(x)={(|x+2|)/(tan^(-1)(x+2)),\ \ \ x!=-2 2,\ \ \ \ \ \ \ \ \ \ \ \...
Text Solution
|
- Let f(x)=|x| . Then, for all x f is continuous (b) f is differentiabl...
Text Solution
|
- The function f(x)=e^(|x|) is (a) Continuous everywhere but not differ...
Text Solution
|
- The function f(x)=|cosx| is (a) everywhere continuous and differe...
Text Solution
|
- If f(x)=sqrt(1-sqrt(1-x^2)) , then f(x) is (a) continuous on [-1, 1...
Text Solution
|
- If f(x)=a|sinx|+b\ e^(|x|)+c\ |x|^3 and if f(x) is differentiable at x...
Text Solution
|
- If f(x)=x^2+(x^2)/(1+x^2)+(x^2)/((1+x^2)^2)++(x^2)/((1+x^2)^n)+ , then...
Text Solution
|
- If f(x)=|(log)e x| , then (a) f'(1^+)=1 (b) f^'(1^(-))=-1 (c) f'...
Text Solution
|
- If f(x)=|(log)e|x| , then f(x) is continuous and differentiable for...
Text Solution
|
- Let f(x)={(1/(|x|), for |x| ge 1),(ax^2+b,for |x| < 1)) . If f(x) is c...
Text Solution
|
- The function f(x)=x-[x] , where [] denotes the greatest integer fun...
Text Solution
|