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Using a suitable substitution, find the ...

Using a suitable substitution, find the derivative of `tan^-1 ((4sqrt(x))/(1-4x))` with respect to x.

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Find the differentiation of y=tan^(-1)(secx+tanx)

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  2. Find the differentiation of y=cos^(-1)sqrt(cosx)

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  3. Using a suitable substitution, find the derivative of tan^-1 ((4sqrt(x...

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  4. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

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  5. Find the differentiation of y=tan^(-1)((x^(1//3)+a^(1//3))/(1-x^(1//3)...

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  6. Find the (dy)/(dx) of y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2))

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  7. Find the (dy)/(dx) of y=sin^(-1)(3x-4x^3)

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  8. Find the (dy)/(dx) of y=sec^(-1)(1/(1-2x^2))

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  9. y=sin^(-1)((5x+12sqrt(1-x^2))/(13))

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  10. Find the (dy)/(dx) of y=sin^(-1)sqrt(1-x^2)

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  11. Find the (dy)/(dx) of y=cos^(-1){sqrt((1+x)/2)}

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  12. Find the (dy)/(dx) of y=tan^(-1)(x/(sqrt(1-x^2)))

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  13. Find the (dy)/(dx) of y=sin^(-1)((1-x^2)/(1+x^2))

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  14. "F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

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  15. Find the (dy)/(dx) of sqrt(1-x^2)+sqrt(1-y^2)=a(x-y)

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  16. If y=cos^(-1)cos(|x|-f(x)) , where f(x)={1,\ \ if\ x >0-1,\ \ if\ x<0\...

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  17. If f(x)=m x^2+n x+p . Then f'(1)+f'(4)-f'(5) is equal to.....

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  18. If f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^2)] , then the value of f'(e) ...

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  19. If f(1)=3 , f'(1)=2 , then d/(dx) {logf(e^x+2x)} at x=0 is equal to......

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  20. Differential coefficient of cos^(-1)(sqrt(x)) with respect to sqrt((1-...

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