Text Solution
AI Generated Solution
Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
- Show that f(x)=x^2 is differentiable at x=1 and find f^(prime)(1) .
Text Solution
|
- Show that the function f(x)=|x-1| for all x in R , is not differentia...
Text Solution
|
- Discuss the differentiability of f(x)=x|x| at x=0 .
Text Solution
|
- Show that the function f(x)={x \ sin \ 1/x\ \ \ ,\ \ \ \ w h e n\ x!=0...
Text Solution
|
- Discuss the differentiability of f(x)={x e-(1/(|x|)+1/x),x!=0x ,x=0a ...
Text Solution
|
- If f(x) is differentiable at x=a , find (lim)(x->a)(x^2f(a)-a^2\ f(x))...
Text Solution
|
- For what choice of a and b is the function f(x)={x^2\ \ \ ,\ \ \ xlt=c...
Text Solution
|
- If f(2)=4 and f^(prime)(2)=1 , then find (lim)(x->2)(x\ f(2)-2f\ (x))/...
Text Solution
|
- A function f: R->R satisfies that equation f(x+y)=f(x)f(y) for all ...
Text Solution
|
- Show that f(x)=|x-3| is continuous but not differentiable at x=3 .
Text Solution
|
- Show that f(x)=x^(1//3) is not differentiable at x=0 .
Text Solution
|
- Show that f(x)={12 x-13 ,\ \ \ if\ xlt=3 \ \ \ \ \ 2x^2+5,\ \ \ \ \ i...
Text Solution
|
- Show that the function f defined as follows f(x)={3x-2, 0 < x <=1 , 2x...
Text Solution
|
- Discuss the continuity and differentiability of the function f(x)=|...
Text Solution
|
- Find whether the following function is differentiable at x = 1 and x...
Text Solution
|
- Show that the function f(x)={x^msin(1/x), x=0 ,0 ,\ \ \ x!=0 ,\ \ \ \...
Text Solution
|
- Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 , 0\ \ x=0 is d...
Text Solution
|
- Show that the function f(x)={x^msin(1/x),\ \ \ x!=0 0,\ \ \ \ \ \ \ \...
Text Solution
|
- Find the values of a and b so that the function f(x)={x^2+3x+a ,\ \ if...
Text Solution
|
- Show that the function f(x)={|2x-3|\ [x],\ \ xgeq1; \ \ \ \ \ \ \ \ ...
Text Solution
|