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If y=(sinx-cosx)^(sinx-cosx) ,pi/4 ltxl...

If `y=(sinx-cosx)^(sinx-cosx)` ,`pi/4 ltxlt (3pi)/ 4` find dy/dx

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If y=xsin(a+y),p rov et h a t(dy)/(dx)=(sin^2(a+y))/(sin(a+y)-ycos(a+y...

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  2. If x ylog(x+y)=1,p rov e \ t h a t \ (dy)/(dx)=-(y(x^2y+x+y))/(x(x y^2...

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  3. If y=(sinx-cosx)^(sinx-cosx) ,pi/4 ltxlt (3pi)/ 4 find dy/dx

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  4. If y=log((x^2+x+1)/(x^2-x+1))+2/(sqrt(3))t a n^(-1)((sqrt(3)x)/(1-x^2)...

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  5. If (x-y)e^(x/(x-y))=a , prove that (dy)/(dx)+x=2ydot

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  6. Differentiate the following functions with respect to x : (e^xlogx)/...

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  7. Differentiate the following functions with respect to x: log(x+sqrt...

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  8. Differentiate the following functions with respect to x : tan(e^(s...

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  9. Differentiate sin^(-1){(2^(x+1). 3^x)/(1+(36)^x)}"w i t hr e s p e...

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  10. Differentiate the following functions with respect to x: log((sinx)...

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

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

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

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

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

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

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

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

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

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