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(d)/(dx) (e^(sin^(-1)x + cos^(-1) x))= …...

`(d)/(dx) (e^(sin^(-1)x + cos^(-1) x))=` …….`(|x| lt 1)`

A

`(2)/(sqrt(1-x^(2)))`

B

0

C

`(1)/(sqrt(1-x^(2)))`

D

`e^(sin^(-1) x + cos^(-1) x)`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. (d)/(dx) (x^(2) + sin^(2) x)^(3) =…….

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  2. (d)/(dx) ( sqrt(x sin x))= …… (0 lt x lt pi)

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  3. (d)/(dx) (e^(sin^(-1)x + cos^(-1) x))= …….(|x| lt 1)

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  4. If function f(x) is continuous at x= 0, f(x)= {((sin (4x))/(9x)",",x n...

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  5. If x= a t^(2), y= 2 a t" then " (dy)/(dx) = …., where t ne 0

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  6. (d)/(dx) (log(5) x^(2))= ……..

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  7. Derivative of tan^(-1)x w.r. to cot^(-1)x is ……. Where x in R

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  8. If y= log (x + sqrt(x^(2) + a^(2))) then (dy)/(dx)= ………

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  9. If y= log(10) sin x then (dy)/(dx) = ……..

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  10. y= sqrt(sin x + sqrt(sin x + sqrt(sin x + …….oo))) then (dy)/(dx)=………

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  11. f(x)= x^(2) e^(2(x-1)), 0 lt x lt 1 and f(x) = a "sgn" (x+1) cos (2x-2...

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  12. The value of f(0), so that f(x)= (sqrt(a^(2)-ax + x^(2))-sqrt(a^(2) + ...

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  13. f(x+ y) = f(x) f(y), For AA x and y. If f(3)= 3 and f'(0) =11 then f'(...

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  14. f(x)= [x] + sqrt(x -[x]), where [.] is a greatest integer function the...

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  15. The function f(x)= (sin 3x)^(tan^(2)3x) is continuous at x= (pi)/(6) t...

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  16. y^(2) = ax^(2) +bx + c then y^(3) (d^(2)y)/(dx^(2)) is a …….. function

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  17. f(x)= x + tan x and f is an inverse function of g then g'(x)= ……..

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  18. If y^(2)= p(x) the is polynomial of order 3, then 2(d)/(dx) [y^(3) (d^...

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  19. If x^(2) + y^(2) =t - (1)/(t) and x^(4) + y^(4) = t^(2) + (1)/(t^(2))...

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  20. If sin y= x sin (a+ y) and (dy)/(dx)= (A )/(1 + x^(2)-2x cos a) then t...

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