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Differentiate log(3x+2)-x^2log(2x-1) wit...

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

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following functions (2^xcosx)/((x^2+3)^2)with res...

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

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

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

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  5. Differentiate e^x \sin2x with respect to x .

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  6. Differentiate (sqrt(x^2+1)+sqrt(x^2-1)) with respect to x .

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

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

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  9. Differentiate sin(sqrt(x^2+a^2)) with respect to x :

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  10. Differentiate e^xsinx with respect to x .

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  11. Differentiate 3\ e^(-3x)log(1+x)

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  12. Differentiate the following functions with respect to (x^2+2)/(sqrt...

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  13. Differentiate x^2(1-x^2) with respect to x .

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  14. Differentiate log{cot(pi/4+x/2)} with respect to x :

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  15. Differentiate the following functions with respect to e^(a x)secxta...

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  16. Differentiate log(cosx^2) with respect to x :

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  17. Differentiate cos(logx)^2 with respect to x :

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  18. Differentiate logsqrt((x-1)/(x+1)) with respect to x :

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  19. If y=log{sqrt(x-1)-sqrt(x+1)} , show that (dy)/(dx)=(-1)/(2sqrt(x^2-1)...

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

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