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If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h...

If `f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x)` is continuous as well as differentiable at `x=0` continuous but not differentiable at `x=0` differentiable but not continuous at `x=0` none of these

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If f(x)={1/(1+e^(1//x)),\ \ \ \ x!=0 0,\ \ \ \ \ \ \ \ \ \ \ x=0 , then f(x) is continuous as well as differentiable at x=0 (b) continuous but not differentiable at x=0 (c) differentiable but not continuous at x=0 (d) none of these

The function f(x)=e^(-|x|) is continuous everywhere but not differentiable at x=0 continuous and differentiable everywhere not continuous at x=0 none of these

Show that the function f(x)=2x-|x| is continuous but not differentiable at x=0

If f(x)={e^(1/x) ,1 ifx!=0ifx=0 Find whether f is continuous at x=0.

Let f(x)={{:(,x^(n)sin\ (1)/(x),x ne 0),(,0,x=0):} Then f(x) is continuous but not differentiable at x=0 . If

f(x) ={{:(1-sqrt(1-x^(2)),if -1lexle1),(1+ log ""(1)/(x), if xgt1):} (a) continuous and differentiable at x=1 (b) continuous but not differentiable at x=1 (c) neither continuous nor differentiable at x=1 (d) none of these

The function f : R rarr R given by f(x) = - |x-1| is (a) continuous as well as differentiable at x = 1 (b) not continuous but differentiable at x = 1 (c) continous but not differentiable at x = 1 (d) neither continous nor differentiable at x = 1

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)continuous and differentiable (b)differentiable but not continuous (c)continuous but not differentiable (d)neither continuous nor differentiable

The function f(x)=e^(|x|) is (a) Continuous everywhere but not differentiable at x = 0 (b) Continuous and differentiable everywhere (c) Not continuous at x = 0 (d) None of the above

RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. The set of points where the function f(x) given by f(x)=|x-3|cosx is d...

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  2. If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)c...

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  3. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

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  4. If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than ...

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  5. Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f...

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  6. The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the gre...

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  7. Let f(x)={a x^2+1,x >1; x+1/2,x<=1.t h e n ,f(x) is derivable at x=1...

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  8. Show that the function defined by g(x)= "x"-"[x] is discontinuous at a...

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  9. It A is a symmetric matrix, write whether A^T is symmetric or skew - s...

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  10. If f(x)={x^2+3x+a ,xlt=1, b x+2, forx >1 is everywhere differentiable...

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  11. Let f(x)=|x| and g(x)=|x^3|, then (a)f(x)a n dg(x) both are continu...

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  12. Is |sinx| differentiable? What about cos|x|?

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  13. Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=...

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  14. The function f(x)=e^(-|x|) is continuous everywhere but not differenti...

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  15. Discuss the continuity and differentiability of f(x)={1-x ,x<1 ...

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  16. If y = (x-1)log(x-1)-(x+1)log(x+1), prove that : dy/dx = log((x-1)/(1+...

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  17. The set of points where the function f(x)=x|x| is differentiable is ...

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  18. The function f(x)=sin^(-1)(cosx) is (a) . discontinuous at x=0 (b). ...

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  19. Let f(x)={1/(|x|)for|x|geq1a x^2+bfor|x|<1iff(x) is continuous and dif...

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  20. If f(x) = sqrt(1-(sqrt1-x^2)) , then f(x) is (a)continuous on [-1, ...

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