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Differentiate sqrt(tan^(-1)(x/2)) with r...

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

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To differentiate the function \( y = \sqrt{\tan^{-1}\left(\frac{x}{2}\right)} \) with respect to \( x \), we will follow these steps: ### Step 1: Rewrite the function We start with the function: \[ y = \sqrt{\tan^{-1}\left(\frac{x}{2}\right)} \] This can be rewritten as: ...
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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
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  2. Differentiate e^(tan^(-1)sqrt(x)) with respect to x .

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

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

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

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

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

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