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Derivative of cos^(-1) (sin x) w.r.t. x ...

Derivative of `cos^(-1) (sin x)` w.r.t. x equals

A

`-1`

B

`1`

C

`cos x `

D

`sinx `

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The correct Answer is:
A
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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. Derivative of cos^(-1) (sin x) w.r.t. x equals

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  2. Derivative of tan^(-1)(cotx) w.r.t. x equals

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  3. The derivative of f (x) = |x| at x = 2 equals :

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  4. The derivative of f(x) = |x| at x = 3 equals

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  5. If y = n^x, n > 0 then dy/dx is equal to

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  6. If y = x^a, a in R then dy/dx is equal to :

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  7. If x = 3at, y = at^3, then dy/dx is equal to :

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  8. If x = 4at, y = at^4, then dy/dx is equal to :

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  9. Derivative of (sin^-1 x + cos^-1 x) w.r.t 'x' is equal to :

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  10. Derivative of (sec^-1 x + cosec^-1 x) w.r.t 'x' is equal to :

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  11. The derivative of sqrt(log(sin x)) w.r.t. x is

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  12. If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",",...

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  13. The derivative of a^x is

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  14. Discuss the continuity of the function (x) at x = 1 if f(x) = {{:((x...

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  15. Discuss the continuity of the function f(x) at x = 3 if f(x) = {{:((...

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  16. Find all the points of discontinuity of f, where f is defined by f(x...

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  17. Find (dy)/(dx) if y = log (sqrt(2x + sqrt(4x^2 + a^2)))

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  18. If x^y = e^(x + y) , show that (dy)/(dx) = (log x - 2)/((1 - log x)^2)

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  19. If siny = xsin(a+y), prove that dy/dx=sin^2(a+y)/sina

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  20. Differentiate cos^(-1) ((1 - x^2)/(1 + x^2)) , 0 lt x lt 1. w.r.t.x

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