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Differentiate (cosx)^(sinx) with resp...

Differentiate `(cosx)^(sinx)` with respect to `(sinx)^(cosx)`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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