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If the derivative of tan^(-1)(a+b x) ...

If the derivative of `tan^(-1)(a+b x)` take the value of `1` at `x=0,` prove that `1+a^2=bdot`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))},"f i n d"(d...

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  2. Differentiate the following function sqrt((1+sinx)/(1-sinx))

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  3. If the derivative of tan^(-1)(a+b x) take the value of 1 at x=0,...

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  4. Differentiate the following functions with respect to x: e^(3x)cos2...

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  5. If y=sin[2t a n^(-1){sqrt((1-x)/(1+x))}],"f i n d"(dy)/(dx)

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  6. Differentiate (logx)^x with respect to logxdot

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  7. Differentiate log(1+x^2) with respect to tan^(-1)xdot

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  8. Differentiate x^2 with respect to x^3dot

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

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

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

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

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  13. If y=1+alpha/((1/x-alpha))+(beta//x)/((1/x-alpha)(1/x-beta))+(gamma//...

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  14. Differentiate the following functions with respect to (log)x3

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  15. Differentiate the following function from first principles: e^(-x)

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  16. Differentiate the following functions with respect to 2^x^3

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  17. Differentiate the following function from first principles: e^(a x+...

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  18. Differentiate the following function from first principles: e^(cosx...

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  19. Differentiate the following function from first principles: e^(sqrt...

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  20. Differentiate the following function sqrt((a^2-x^2)/(a^2+x^2))

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