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The set of points where the function `f(x)` given by `f(x)=|x-3|cosx` is differentiable, is (a) R (b) `R-{3}` (c) `(0,oo)` (d) none of these

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RD SHARMA ENGLISH-DIFFERENTIABILITY-All Questions
  1. If for the function varphi(x) = lambdax^2+7x-4 , varphi' (5) = 97, ...

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

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  3. The set of points where the function f(x) given by f(x)=|x-3|cosx is d...

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  4. 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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  5. 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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  6. If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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