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Differentiate tan^(-1)(secx+tanx) , -pi/...

Differentiate `tan^(-1)(secx+tanx)` , `-pi/2ltxltpi/2` with respect to `x` :

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To differentiate the function \( y = \tan^{-1}(\sec x + \tan x) \) with respect to \( x \), we will follow these steps: ### Step 1: Rewrite the function We start with the function: \[ y = \tan^{-1}(\sec x + \tan x) \] ...
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RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate tan^(-1){(cosx)/(1+sinx)},0ltxltpi

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  2. Differentiate tan^(-1){sqrt((1+sinx)/(1-sinx))}, -pi/2ltxltpi/2 with r...

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  3. Differentiate tan^(-1)(secx+tanx) , -pi/2ltxltpi/2 with respect to x :

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  4. Differentiate tan^(-1){sqrt(1+x^2)+x},\ x in RR with respect to x .

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

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

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  7. Differentiate tan^(-1){(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(...

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

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  9. Differentiate tan^(-1)((3a^2x-x^3)/(a^3-3a x^2)), -1/(sqrt(3))ltx/alt1...

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  10. Differentiate tan^(-1)sqrt((a-x)/(a+x)),-altxlta

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  11. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2]) and 0 < x < 1, then find...

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  12. If y=cos^(-1){x\ sqrt(1-x)+sqrt(x)sqrt(1-x^2)} and 0 < x < 1. Find dy/...

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  13. If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -...

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  14. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with ...

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  15. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with ...

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  16. Differentiate sin^(-1)((2x)/(1+x^2))+cos^(-1)((1-x^2)/(1+x^2)) , with ...

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  17. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  18. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  19. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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  20. Differentiate tan^(-1)((2x)/(1-x^2))+cos^(-1)((1-x^2)/(1+x^2)) with re...

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