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Find dy/dx if y=(x-1)^(1/2)...

Find `dy/dx if y=(x-1)^(1/2)`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate (logx)^x with respect to logx .

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

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  3. Find dy/dx if y=(x-1)^(1/2)

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  4. Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x ,

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  5. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-1)...

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  6. Find dy/dx if y-x-x^6=0

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  7. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x'

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  8. Differentiate (cosx)^(sinx) with respect to (sinx)^(cosx) .

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  9. Differentiate cos^(-1)((1-x^2)/(1+x^2)) .

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  10. Differentiate tan^(-1)((1+a x)/(1-a x)) with respect to sqrt(1+a...

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  11. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to tan^(-1)(x/(sqrt...

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  12. Differentiate tan^-1""((2x)/(1-x^2)) with respect to cos ^-1 ((1-x^2)...

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  13. Differentiate tan^(-1)((x-1)/(x+1)) with respect to sin^(-1)(3x-4x...

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  14. Find dy/dx if y=(cosx)/(1+sinx)

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  15. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)((2x)...

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  16. Differentiate cos^(-1)(4x^3-3x) with respect to x' .

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  17. Differentiate sin^(-1)(2xsqrt(1-x^2)),

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  18. Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x , if x∈ [-...

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  19. Differentiate sin^(-1)(2a xsqrt(1-a^2x^2)) with respect to sqrt(1-a^2x...

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  20. Differentiate tan^(-1)((1-x)/(1+x)) with respect to sqrt(1-x^2) , if -...

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