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Differentiate the following functions...

Differentiate the following functions with respect to `(log)_x3`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate (cosx)^(sinx) with respect to (sinx)^(cosx)

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

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), show that at pi/4,(dy)/...

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  16. If x=(1+logt)/(t^2),y=(3+2logt)/t ,"f i n d"(dy)/(dx)dot

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  17. If x=3sint-sin3t ,y=3cos t-cos3t ,"find "(dy)/(dx)" at "t=pi/3dot

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  18. If sinx=(2t)/(1+t^2),tany=(2t)/(1-t^2),"f i n d"(dy)/(dx)dot

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  19. Differentiate tan^(-1)((cosx)/(1+sinx)) with respect to sec^(-1)...

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  20. If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y)...

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