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Differentiate (e^(2x)+e^(-2x))/(e^(2x)-e...

Differentiate `(e^(2x)+e^(-2x))/(e^(2x)-e^(-2x))` with respect to `x` .

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AI Generated Solution

To differentiate the function \( y = \frac{e^{2x} + e^{-2x}}{e^{2x} - e^{-2x}} \) with respect to \( x \), we can follow these steps: ### Step 1: Identify the function Let: \[ y = \frac{e^{2x} + e^{-2x}}{e^{2x} - e^{-2x}} \] ...
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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate (e^xlogx)/(x^2) with respect to x :

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  2. Differentiate log(cos e c\ x-cotx) with respect to x :

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  3. Differentiate (e^(2x)+e^(-2x))/(e^(2x)-e^(-2x)) with respect to x .

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  4. Differentiate log((x^2+x+1)/(x^2-x+1)) with respect to x .

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  5. Differentiate tan^(-1)(e^x) with respect to x :

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  6. Differentiate: e^(sin^(-1) \ 2x) with respect to x .

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  7. Differentiate sin(2\ sin^(-1)x) with respect to x :

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  8. Differentiate e^(tan^(-1)sqrt(x)) with respect to x .

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  9. Differentiate sqrt(tan^(-1)(x/2)) with respect to x :

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  10. Differentiate log(tan^(-1)x) with respect to x :

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  11. Differentiate the following functions with respect to (2^xcosx)/((x...

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  12. Differentiate xsin2x+5^x+k^k+(t a n^2x)^3 with respect to x :

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  13. Differentiate log(3x+2)-x^2log(2x-1) with respect to x :

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  14. Differentiate sin^2{log(2x+3)} with respect to x :

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  15. Differentiate e^x \ logsin2x with respect to x .

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  16. Differentiate (sqrt(x^2+1)+sqrt(x^2-1))/(sqrt(x^2+1)-sqrt(x^2-1)) with...

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  17. Differentiate log{x+2+sqrt(x^2+4x+1)} with respect to x :

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  18. Differentiate (sin^(-1)x^4)^4 with respect to x :

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  19. Differentiate sin^(-1)(x/(sqrt(x^2+a^2))) with respect to x :

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  20. Differentiate (e^xsinx)/((x^2+2)^3) with respect to x .

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