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If y=sin(x^(2)), z=e^(y^(2)) and t=sqrt(...

If `y=sin(x^(2)), z=e^(y^(2))` and `t=sqrt(z)`, then the value of `(dt)/(dx)` is -

A

`(xyz)/(t)`

B

`(2xyz)/(t)`

C

`(2xyz)/(t)cos(x^(2))`

D

`-(xyz)/(t)cos(x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 5
  1. If f(x)=log(x)(log(e)x), then the value of f'(e ) is -

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  2. If y=(cos^(-1)x)^(2), then the value of (1-x^(2))y(2)-xy(1) is -

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  3. If y=sin(x^(2)), z=e^(y^(2)) and t=sqrt(z), then the value of (dt)/(dx...

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  4. If y=a^(x)b^(2x-1), then the value of (d^(2)y)/(dx^(2)) is -

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  5. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+...oo))), then the value of (dy)/(d...

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  6. If y=log(a)x+log(x)a+log(x)x+log(a)a, then the value of (dy)/(dx) is ...

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  7. If f(x)={(((4^(x)-1)^(3))/("sin"(x)/(a)log(1+(x^(2))/(3))),"when "x ne...

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  8. If (x+y)^(m+n)=x^(m)y^(n), then the value of (dy)/(dx) is -

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  9. If x+y=e^(x-y) then the value of (d^(2)y)/(dx^(2)) is -

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  10. If x=2 cos theta-cos 2 theta and y=2 sin theta-sin 2 theta, then the ...

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  11. Let f(x) be differentiable for all x. If f(1)=-2 and f'(x) ge 2 for ...

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  12. The value of the integral int(pi)^(10pi) |sinx|dx is equal to -

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  13. The value of the integral int(dx)/(x^(2)+4x+13) is -

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  14. The value of int(-(1)/(2))^((1)/(2)) cos x log((1-x)/(1+x))dx is -

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  15. The value of the integral int(0)^((pi)/(2))|sinx-cosx|dx is -

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  16. The value of int(0)^(3)(3x+1)/(x^(2)+9)dx is equal to -

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  17. The value of int e^(x)((2+sin2x)/(1+cos2x))dx is equal to -

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  18. The value of int(0)^(1) tan^(-1)((1)/(x^(2)-x+1))dx is equal to -

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  19. The value of int(a^((x)/(2)))/(sqrt(a^(-x)-a^(x)))dx is equal to -

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  20. The value of int(a)^(b)(x)/(|x|)dx, a lt b lt 0, is equal to -

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