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If the first derivative of a function va...

If the first derivative of a function vanishes at all points and if f(0) =1, then what is f(x)?

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Given f(x) =0 `implies` f(x) = C but f(0) =1 `therefore` C=1 The function is f(x) =1.
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Is the function [x] differentiable at x=2?

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  2. If f(x) =| x |, what is the value of f(0-)?

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  3. If the first derivative of a function vanishes at all points and if f(...

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  4. Give example of a function which is continuous but not differentiable ...

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  5. Give example of a function whose is continuous but not differentiable ...

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  6. If f(x+y) = f(x) f(y) for all x,y and if f(5) = 2 and f(0) = 3, then w...

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  7. A differentiable function f defined for all x > 0 and satisfies f(x^2)...

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  8. If f(x) =[tan^2x], what is f ' (0)?

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  9. If f(x) = (3x+2)^100 and f ' (x) = n(3x+2)^99 then what is the value o...

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  10. If xin((3pi)/4,pi) what is dy/dxfor y = | cos x | + | sin x | ?

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  11. What is the derivative of f(In x) with respect to x where f(x) = In x ...

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  12. If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?

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  13. Defferentiate tan^(-1) frac (2x)(1-x^2) w.r.t. sin^(-1) frac (2x)(1+...

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  14. What is the differential co-efficient of "tan"^(-1)sqrt(1+x^2-1)/x wit...

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  15. If y=at^2, x= 2at where a is a constant what is the value of (d^2y)/(d...

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  16. Is the function f(x)="sin"^(-1)(2x)/(1+x^2) differentiable at x=pm1?

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  17. Write the value of d/dx(sin^-1x+cos^-1x) for x in(-1,1).

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  18. Write the value of d/dxsec^-1(1/(2x^2-1)), for x in(0,1/sqrt2).

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  19. Write the interval in which the fuction f(x)=sin^-1(1-x) is differenti...

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  20. Write the value x for which d/dxsin(sin^-1x)=1

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