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y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)),...

`y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), `where `-pi/2ltxltpi`and `a/btanx gt -1`.Find `dy/dx`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), wher...

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  2. Find the derivative of sec^(-1)(1/(2x^2-1))wdotrdott sqrt(1-x^2) at x=...

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  3. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

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  4. If f(9)=9,f^(prime)(9)=4,t h e n("lim")(x->9)(sqrtf(x)-3)/(sqrtx-3)= ...

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  5. Find the sum of the series 1+2x+3x^2+(n-1)x^(n-2) using differentiatio...

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  6. If f(x) satisfies the relation f((5x-3y)/2)=(5f(x)-3f(y))/2AAx ,y in...

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  7. y=4x^2 + e^(3x) find y'

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  8. Instead of the usual definition of derivative Df(x), if we define a n...

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  9. y=tan^(-1)(x/(1+sqrt(1-x^2)))

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  10. If y=|cosx|+|sinx|,t h e n(dy)/(dx)a tx=(2pi)/3 is (1-sqrt(3))/2 (b) 0...

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  11. y=ln x + e^(2x) find y'

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  12. If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pr...

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  13. Find (dy)/(dx) for the function: y= sin x + ln x

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  14. If x=varphi(t), y=psi(t),t h e n(d^(2y))/(dx^2) is (a)(varphi^(prime...

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  15. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

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  16. f(x)=e^x-e^(-x) then find f'(x)

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  17. Find (dy)/(dx) for the function: y=sqrt(sinsqrt(x))

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  18. If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),then (dy)/(dx)is eq...

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  19. Find (dy)/(dx) for the function: y=e^x + cos x

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  20. Find (dy)/(dx) for the function: y=x^3 + e^(2x)

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