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Let f (x) = x |x|, then f (0) is equal t...

Let f (x) = x |x|, then f (0) is equal to

A

1

B

-1

C

0

D

none of these

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. The number of points at which the function f(x)=(1)/(x-[x]) is not con...

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  2. The function f(x)=(4-x^(2))/(4x-x^(3)) is

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  3. Let f (x) = x |x|, then f (0) is equal to

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  4. If f(x) = log |x|, then for x ne 0 f'(x) is equal to

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  5. Let f(x)=|sinx|. Then

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  6. The set of points where the function f given by f(x)=|2x-1|sinx is dif...

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  7. Lt f(x) = |cos x|, then

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  8. If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is

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  9. The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1)x is

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  10. If y=log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

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  11. d/(dx) {log(x + sqrtx^2+1)} is

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  12. If y = (e^x - e^-x)/(e^x + e^-x), then dy/dx=

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  13. If y = sqrt(sin x + y) , then (dy)/(dx) is equal to

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  14. If x=t^2, y = t^3, then (d^2y)/(dx^2) is

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  15. If y = ae^(mx) + be^-(mx), then (d^2y)/(dx^2) =

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  16. Lagranges's mean value theorem is not applicable to f(x) in [1,4] wher...

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  17. The value of c in Rolle's Theorem for the function f(x) = e^x sin x , ...

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  18. The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...

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  19. If y = tan^-1 (2x/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)), find dy/dx when...

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  20. If f(x) = x^2 +(x^2)/(1+x^2)+ (x^2)/((1+x^2)^2) + …. up to infty, then...

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