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The points where the function f(x) = [x]...

The points where the function `f(x) = [x] + |1 - x|, -1 < x < 3` where `[.]` denotes the greatest integer function is not differentiable, are

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VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE Advanced (Archive)
  1. Let g(x) be a polynomial of degree one and f(x) is defined by f(x)={g...

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  2. Let f be a continuous, g be a discontinuous function. Prove that f + g...

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  3. Let f(x) be continuous function satisfying the condition f(-x) = f...

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  4. Let R be the set of real numbers and f : R to R be such that for all x...

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  5. The points where the function f(x) = [x] + |1 - x|, -1 < x < 3 where [...

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  6. The values of a and b so that the function f(x) = {{:(x + a sqrt(2) si...

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  7. If x=s e ctheta-costhetaa n dy=sec^ntheta-cos^ntheta,p rov et h a t ...

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  8. A function f : R rarr R satisfies the equation f(x+y) = f(x). f(y...

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  9. Given that f(x)= {((1-cos4x)/(x^(2))",","if "x lt 0),(a",","if "x =0),...

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  10. Find (dy)/(dx) at x=-1, when (siny)^(sin.(pix)/(2))+(sqrt3)/(2)sec^(-1...

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  11. Find ("lim")(xvec0){tan(pi/4+x)}^(1//x)

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  12. Let f(x) = {{:({1 + |sin x|}^(a//|sin x|)",",-pi//6 lt x lt 0),(b",",x...

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  13. Let f((x+y)/(2))= (f(x)+f(y))/(2) for all real x and y. If f'(0) exits...

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  14. If f(x)={xe^-[1/(|x|)+1/x]; x != 0; 0;x=0 Prove that f(x) is not diff...

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  15. Determine the values of x for which the following functions fails to b...

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  16. "If "=(ax^(2))/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+(c)/(x-c)+1," prove...

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  17. Let alpha in R. Prove that a function f: RtoR is differentiable a...

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  18. Q. f={(x+a if x<0), (|x-1| if x>=0) g(x)={(x+1 if x<0),(x-1)^2 + b ...

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  19. f(x)={bsin^-1((x+c)/2),-1/2 lt xlt0 and 1/2 , x=0 and e^(((ax)/2)-1)/...

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  20. If |cos^-1(1)/(n)|lt (pi)/(2), then lim(n to oo) {(n+1)(2)/(pi)cos^-...

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