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Prove that the function f given by f(x) ...

Prove that the function f given by `f(x) = |x-1|, x in R, x=1` is not differentiable at x = 1.

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Differentiate the functions with respect to x: 2sqrt(cot(x^2))

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  2. Differentiate the functions with respect to x: cos(sqrtx)

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  3. Prove that the function f given by f(x) = |x-1|, x in R, x=1 is not di...

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  4. Prove that the greatest integer function defined by f(x) = [x], 0<x<3,...

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  5. Find dy/dx in the following: 2x+3y= sinx

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  6. Find dy/dx in the following: 2x+3y= siny

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  7. Find dy/dx in the following: xy+y^2= tanx +y

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  8. Find dy/dx in the following: x^2+xy+y^2= 100

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  9. Find dy/dx in the following: x^3+x^2y+xy^2+y^3=81

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  10. Find dy/dx in the following: sin^2y + cosxy = k

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  11. Find dy/dx in the following: sin^2x + cos^2y = 1

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  12. Find dy/dx in the following: y=sin^-1(2x/(1+x^2)

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  13. y=tan^(-1)((3x - x^3)/(1-3x^2), -1/sqrt3<x<1/sqrt3 ਵਿੱਚ dy/dx ਪਤਾ ਕਰੋ।

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  14. y=cos^(-1)((1 - x^2)/(1+x^2), 0<x<1 ਵਿੱਚ dy/dx ਪਤਾ ਕਰੋ।

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  15. Find dy/dx in the following:y=sin^-1((1 - x^2)/(1+x^2), 0<x<1

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  16. Find dy/dx in the following: y=cos^-1((2x)/(1+x^2), -1<x<1

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  17. Find dy/dx in the following: y=sin^-1(2x sqrt(1-x^2)), -1/sqrt2ltxlt1/...

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  18. Find dy/dx in the following:y=sec^-1(1/(2x^2-1)), 0ltxlt1/sqrt2

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  19. Differentiate the following w.r.t. x: e^x/(sinx)

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  20. Differentiate the following w.r.t. x:e^(sin^-1x)

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