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If f(x)=1//x,x=2,deltax=0.2, then df=...

If `f(x)=1//x,x=2,deltax=0.2,` then df=

A

0.02

B

-0.02

C

`0.05

D

-0.05

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1A (APPROXIMATIONS AND ERRORS)
  1. If f(x)-1//x,x=1,deltax=0.02, then deltaf=

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  2. If f(x)=logx,x=2,deltax=0.02, then df=

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  3. If f(x)=1//x,x=2,deltax=0.2, then df=

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  4. If f(x)=1//x^2,x=2,delta=-0.01, then df=

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  5. The approximate change in y, wheny=x^2+2x,x=3,delta=0*01 is

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  6. The approximate change in y, when y=1//x^2,x=1,deltax=-0*01 is

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  7. The approximate vlue of (2*001)^4 is

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  8. The approximate value of (3*02)^5 is

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  9. The approximate value of (1*0002)^3000 is

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  10. The value of (127)^(1//3) to 4decmal places is

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  11. The approximate value of root(4)(80) is

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  12. The approximate value of 1/sqrt(25*25) is

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  13. The approximate value of 1/root(3)(8*08) is

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  14. The approximate value of log(2.01), given that log 2 = 0.6934 is

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  15. The approximate value of sin 30^@ 1^', given that 1^@= 0.01745 radian ...

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  16. The approximate value of cos 60^@, given that 1^@= 0.01745 radian is

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  17. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

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  18. The approximate value of tan 45^@ 1^', given that 1^@ = 0.01745 radian...

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  19. How many times of relative error in I is the relative error in T, whe...

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  20. If an error of 0.02 cm is made while measuring the radius 10 cm of a c...

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