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Differentiate log(x+sqrt(a^2+x^2)) with ...

Differentiate `log(x+sqrt(a^2+x^2))` with respect to `x` .

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate logtan(pi/4+x/2) with respect to x :

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  2. Differentiate sqrt(log{sin((x^2)/3-1)}) with respect to x

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  3. Differentiate log(x+sqrt(a^2+x^2)) with respect to x .

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  4. Differentiate log{(a+bsinx)/(a-bsinx)} with respect to x .

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  5. Differentiate (e^x+e^(-x))/(e^x-e^(-x)) with respect to x .

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  6. Differentiate logsqrt((1+sinx)/(1-sinx)) with respect to x .

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  7. Find (dy)/(dx) , when y=e^(a x)cos(b x+c)

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  8. Find (dy)/(dx) , when y=(e^x+logx)/(sin3x)

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  9. Find (dy)/(dx) , when y=e^xlog(1+x^2)

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  10. Find (dy)/(dx) , when y=(sinx+x^2)/(cot2x)

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  11. If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt(x^2+a...

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  12. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

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  13. Differentiate sin(m\ sin^(-1)x) with respect to x :

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  14. Differentiate (a^(sin^(-1)x))^2 with respect to x :

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  15. Differentiate: e^(cos^(-1)sqrt(1-x^(2))

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  16. Differentiate the following functions with respect to x : (log)(10)x...

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  17. Differentiate 5^3-x^2+(3-x^2)^5 with respect to x :

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  18. If y=(sqrt(a^2+x^2)+sqrt(a^2-x^2))/(sqrt(a^2+x^2)-sqrt(a^2-x^2)),s ho...

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  19. If y=sqrt((1-x)/(1+x)) prove that (1-x^2)(dy)/(dx)+y=0

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  20. If y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1...

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