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If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fra...

If` y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=`____

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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. What is the derivative of e^(3logx) w.r.t.x?

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  2. If u=t^2and v=sint^2then dv/du=.

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  3. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

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  4. Write the derivative of sinx with respect to cosx.

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  5. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

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  6. if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0.

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  7. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

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  8. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

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  9. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...

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  10. Write that condition of Rolle’s theorem which is violated by the funct...

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  11. If f(0)=0,f'(0)=2 then what is the derivative of y = f(f(f(f(x)))) at...

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  12. If y = tan^(-1)(1/(1+x+x^2)) + tan^(-1)(1/(x^2+3x+3)) + tan^(-1)(1/(x^...

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  13. If x=a(cos t + log tan (t/2)),y=a sin t, then what is (d^2y)/(dx^2) at...

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  14. What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...

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  15. If f(x)=|logx| then for x!=1, then what is f'(x)?

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  16. If y=|cosx|+|sinx| then what is (dy)/(dx) at x = (2pi)/3 ?

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  17. If f(x)=logx^(2)(logx), then f(e)

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  18. If y = tan^(-1)[(x/log ex^3)] + tan^(-1)[(5 + 3logx)/(1-15logx)] then ...

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  19. If f(x) = a |sinx| + b.e^(|x|) + c |x|^3 and f(x) is differentiable at...

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  20. What is the value ofthe derivative of f(x)=|x-1|+|x-3| at x=2?

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