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True or False : d/(dx) (log10x) = 1/x ...

True or False :
`d/(dx) (log_10x) = 1/x for all x >0`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...

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  2. For continuity, at x=a, each of lim(xtoa^(+))f(x) and lim(xtoa^(-))f(x...

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  3. True or False : d/(dx) (log10x) = 1/x for all x >0

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  4. True or False : If underset(x rarr a)Lt f(x)g(x) exists then both un...

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  5. If f*g is continuous at x=a, then f and g are separately continuous at...

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  6. All trigonometric functions have inverse over their respective domains...

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  7. True or False : An increasing function is always a continuous functi...

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  8. True or False : The function f(x) = |x-1| is a continuous function.

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  9. True or False : Derivative of an even function is always an odd func...

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  10. Match the following:

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  11. limxrarr0 (e^x - 1)/x is equal to :

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  12. If a>0,a ne1, then log(a)(x^n) =

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  13. Which of the following is not true

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  14. underset(xrarr0)lim (e^x -1)/(x) is equal to

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  15. limxrarr0 (log (1+x)/sin x is equal to :

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  16. underset(xrarre)(Lt)((logx-1)/(x-e)) is equal to

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  17. The function f(x) = {{:(("sin x")/(x)+ cos x ,if x != 0),(k , if x = 0...

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  18. If (x)=2x and g(x)=(x^(2))/(2)+1, then which of the following can be a...

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  19. Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}. Show that f is continu...

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  20. Let f(x) = {:{((3x+4tanx)/x, x ne0),(k, x = 0):} then f is continuous ...

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