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

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

A

`1 1/(2sqrt(tan x))`

B

`1/2 "sec"^2 x`

C

`(cot x)/(2sqrt(log sin x))`

D

None of these

Text Solution

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The correct Answer is:
C
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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)
  1. Derivative of (sin^-1 x + cos^-1 x) w.r.t 'x' is equal to :

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

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

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

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  5. The derivative of a^x is

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

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

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

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

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

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

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

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  13. Diferentiate tan^(-1)((2x)/(1 - x^2)) w.r.t.x.

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  14. If y = a sin (log x) + b cos (log x), then prove that : x^2 d^2y/dx^2+...

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  15. If y=sin(msin^-1x), prove that (1-x^2)y2-xy1+m^2y=0

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  16. Discuss the continuity of f(x) = 0 at x = 0 if f(x) = {{:((sqrt(1 + ...

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  17. Discuss the continuity of following at x = 0 if f(x) = {{:((sqrt(1 +...

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  18. Determine the value of constant k so that the function f(x) = {{:((x...

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  19. Determine the constant k, so that the function f(x) = {{:((x^2- 9)/(...

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  20. Examine the continuity of the following function at x = 2 : f(x) = {...

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