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Differentiate x^2 with respect to ...

Differentiate `x^2` with respect to `x^3dot`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate (logx)^x with respect to logxdot

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  2. Differentiate log(1+x^2) with respect to tan^(-1)xdot

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  3. Differentiate x^2 with respect to x^3dot

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  4. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-...

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  5. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)...

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  6. Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x , ...

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  7. Differentiate (cosx)^(sinx) with respect to (sinx)^(cosx)

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  8. If y=1+alpha/((1/x-alpha))+(beta//x)/((1/x-alpha)(1/x-beta))+(gamma//...

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  9. Differentiate the following functions with respect to (log)x3

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  10. Differentiate the following function from first principles: e^(-x)

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  11. Differentiate the following functions with respect to 2^x^3

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  12. Differentiate the following function from first principles: e^(a x+...

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  13. Differentiate the following function from first principles: e^(cosx...

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  14. Differentiate the following function from first principles: e^(sqrt...

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  15. Differentiate the following function sqrt((a^2-x^2)/(a^2+x^2))

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  16. Differentiate the functions 3^(xlogx) with respect to x

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  17. Differentiate the following function from first principles: x^2e^x

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  18. Differentiate the function (logsinx)^2 with respect to x

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  19. If a>0, x=(t+1/t)^a ,y=a^(t+1/t),"find " (dy)/(dx)

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  20. If x=a((1+t^2)/(1-t^2))"and"y=(2t)/(1-t^2),"f i n d"(dy)/(dx)

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