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The derivative of the function, f(x)=co...

The derivative of the function, `f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sinx)}+sin^(-1){(1)/(sqrt13)(2cosx+3sinx)}w.r.t.sqrt(1+x^(2))` at `x=(3)/(4)` is

A

`(3)/(2)`

B

`(5)/(2)`

C

`(10)/(3)`

D

0

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The correct Answer is:
C
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  2. Let f and g be differentiable functions satisfying g(a) = b,g' (a) = ...

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  3. The derivative of the function, f(x)=cos^(-1){(1)/(sqrt13)(2cosx-3sin...

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  4. If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then the value of 10 f...

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  5. Let y=ln(1+cosx)^(2), then the value of(d^(2)y)/(dx^(2))+(2)/(e^(y//2)...

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  6. If f(x)=(a+sqrt(a^2-x^2)+x)/(sqrt(a^2-x^2)+a-x) where a>0 and x<a then...

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  7. Let u(x) and v(x) be differentiable functions such that (u(x))/(v(x)...

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  8. If f(x)=|log(e)|x||," then "f'(x) equals

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  9. If f(x) is given by f(x)=(cosx+i sinx)(cos3x+isin3x)......... .......

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  10. Let f(x)=x^(n) , n being a non-negative integer, The value of n for w...

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  11. If f(x)=sin{(pi)/(3)[x]-x^(2)}" for "2ltxlt3 and [x] denotes the grea...

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  12. The function u=e^x s in ; v=e^x cos x satisfy the equation v(d u)/(dx)...

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  13. If f(x)=logx(lnx) then f'(x) at x=e is

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  14. Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...

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  15. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

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  16. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx) is equal to

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  17. If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

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  18. Let f(x)=x^2+xg^2(1)+g^''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then fin...

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  19. if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...

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  20. If y+log(1+x)=0 which of the following is true?

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