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Differentiate the following functions wi...

Differentiate the following functions with respect to `x :` `tan^(-1)((3a^2x-x^3)/(a^3-3a x^2))`

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To differentiate the function \( y = \tan^{-1}\left(\frac{3a^2x - x^3}{a^3 - 3ax^2}\right) \) with respect to \( x \), we will follow these steps: ### Step 1: Set up the function Let \[ y = \tan^{-1}\left(\frac{3a^2x - x^3}{a^3 - 3ax^2}\right) \] ...
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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate the following functions with respect to x : tan^(-1)s...

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  2. Differentiate the following functions with respect to x : tan^(-1)((...

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  3. Differentiate the following functions with respect to x : tan^(-1)((3...

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  4. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

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  5. Differentiate the following functions with respect to x : tan^(-1){(...

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  6. Differentiate the following functions with respect to x : tan^(-1){s...

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  7. Differentiate the following functions with respect to x : tan^(-1){s...

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  8. Differentiate the following functions with respect to x : tan^(-1){(...

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  9. Differentiate the following functions with respect to x : tan^(-1){sqr...

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  10. Differentiate the following functions with respect to x : tan^(-1)(s...

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  11. Differentiate (2^xcotx)/(sqrt(x)) with respect to x .

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  12. Differentiate e^xlogsqrt(x)tanx with respect to x .

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  13. Differentiate (e^x+sinx)/(1+logx) with respect to x .

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

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

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

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

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

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

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

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