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If f(x) =|x| , then f'(0) is...

If f(x) =|x| , then f'(0) is

A

0

B

1

C

`-1`

D

Not in existence

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The correct Answer is:
D
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AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. If f is derivable at x =a,then underset(xto a ) lim( (xf(a) -af( x))/...

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  2. Let f(x) = x|x| then f'(0) is equal to

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  3. If f(x) =|x| , then f'(0) is

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  4. Let f(x)= {:{ (x + a , x ge 1 ) , ( ax^(2) + 1, x lt 1) :} then f(x)...

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  5. If f(x )=sqrt(25-x^(2)), then what is underset(xto1)lim(f(x)-f(1))/(x-...

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  6. if f(x)=e^(-1/x^2),x!=0 and f (0)=0 then f'(0) is

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  7. If f(x)=log|x|,xne0 then f'(x) equals

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  8. d/(dx) (sin^(-1) "" (2x)/(1+x^(2))) is equal to

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  9. Differential coefficient of log10 x w.r.t logx 10 is

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  10. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

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  11. If y=(e^x-e^(-x))/(e^x+e^(-x)) , prove that (dy)/(dx)=1-y^2

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

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  13. If y^(2) = ax^(2) + b , " then " (d^(2)y)/( dx^(2))

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  14. If y=(log x)/(x) then (d^(2)y)/(dx^(2))=

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  15. Differentiate the following w.r.t.x. The differentiation coneffiecient...

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  16. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

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  17. If f(x) = cos x cos 2x cos 4x cos (8x). cos 16x then find f' (pi/4)

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  18. If y = cos^(-1)(cos x) then dy/dx at x = (5pi)/4 is (i)1 (ii)-1 (ii...

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  19. If x=e^y+e^((y+ tooo)) , x >0 , then (dy)/(dx) is equal to........

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  20. if x^y . y^x =16 then dy/dx at (2,2) is equal to

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