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Differentiate the following functions w....

Differentiate the following functions w.r.t.x :
`log(x+ (sqrt(x^2 + a^2))`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate the following functions w.r.t.x : xsqrt(1+x^2) + log (...

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  2. Differentiate the following functions w.r.t.x : log (1+x)/(1-x)

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  3. Differentiate the following functions w.r.t.x : log(x+ (sqrt(x^2 + a...

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  4. Differentiate the following functions w.r.t.x : log (log (log x^5))

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  5. Differentiate the following functions w.r.t.x : (e^(ax))/(sin(bx+c))

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  6. Differentiate the following functions w.r.t.x : e^(-ax^2) log (sinx)

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  7. Differentiate the following functions w.r.t.x : log(x + e^(sqrtx))

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  8. Differentiate the following functions w.r.t.x : (logx) e^(tanx+x^2)

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  9. Differentiate the following functions w.r.t.x : e^(sinx) sin (e^x)

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  10. Differentiate the following functions w.r.t.x : sqrt((1+e^x)/(1-e^x)...

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  11. Differentiate the following functions w.r.t.x : cos (tan sqrtx)

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  12. Differentiate the following functions w.r.t.x : sinx^2 + sin^2x + si...

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  13. Differentiate the following functions w.r.t.x. sqrt(sec^2 x + cosec^...

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  14. Differentiate the following functions w.r.t.x : 2^x e^(2(x+3))

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  15. Differentiate the following functions w.r.t.x : 2^(5x^2) xx 3^(-4x)

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  16. Differentiate the following functions w.r.t.x : log|(a+bsinx)/(a-bsi...

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  17. Differentiate the following functions w.r.t.x : (5x)^(3cos^2x)

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  18. If y = sin (cos sqrtax + b), find dy/dx

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  19. If y = sqrt((1+x)/(1-x)), prove that (1-x^2) dy/dx - y = 0

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  20. If y = sqrt((1-sin2x)/(1+sin2x)), prove that dy/dx + sec^2 (pi/4 -x) =...

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