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If y=(1+x)(1+x^2)(1+x^4)(1+x^8)............

If `y=(1+x)(1+x^2)(1+x^4)(1+x^8).........(1+x^(2n))` , find `(dy)/(dx)` .

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate (e^x+sinx)/(1+logx) with respect to x .

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  2. Differentiate (sinx-xcosx)/(xsinx+cosx) with respect to xdot

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  3. If y=(1+x)(1+x^2)(1+x^4)(1+x^8).........(1+x^(2n)) , find (dy)/(dx) .

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  4. If f(x)=|cosx| , find f^(prime)(pi/4) and f^(prime)((3pi)/4) .

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  5. If f(x)=|cosx-sinx| , find f^(prime)(pi/6) and f^(prime)(pi/3) .

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  6. If f(x)=|logx|,x>>0,fin df^(prime)(1/e)a n df^(prime)(e)dot

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  7. Differentiate e^(x^2) with respect to x from first-principles

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  8. Differentiate e^(2x) with respect to x from first principles

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  9. Differentiate e^(sqrt(x)) with respect to x from first-principles

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  10. Differentiate e^(sinx) with respect to x from first-principles

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  11. Differentiate x e^x from first principles.

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  12. Find the derivative of the following function with respect to 'X' : ...

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  13. Differentiate logsecx from first principles.

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  14. If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) using the first principle...

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  15. Differentiate cos^(-1)(2x+3) from first principles.

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  16. about to only mathematics

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  17. Differentiate x\ tan^(-1)x from first principles.

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  18. Differentiate sin^(-1)sqrt(x)(0<x<1) from first principles.

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  19. Differentiate e^(-x) from first principles

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  20. Differentiate e^(3x) from the first principle.

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