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Differentiate (x-1)/(x-3) with respect t...

Differentiate `(x-1)/(x-3)` with respect to x .

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. If x=at^2 , y=2at , then find dy/dx .

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  2. If y=sin^(-1)(cosx)+cos^(-1)(sinx) , then find dy/dx .

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  3. Differentiate (x-1)/(x-3) with respect to x .

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  4. Differentiate sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5) with respect to x.

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  5. Define absx

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  6. At which point d/dxabsx does not exist? Find d/dxabsx .

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  7. Find d/dxabs(x^3-7x) . Also , find the point at which the derivative d...

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  8. Match the following.

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  9. If log(x^2+y^2)=2tan^(-1)(y/x) , then, show that dy/dx=(x+y)/(x-y)

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  10. If x=asec^3theta and y=atan^3theta dx/(d theta) , dy/(d theta)

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  11. If x=asec^3theta and y=atan^3theta Find dy/dx

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  12. If x=asec^3theta and y=atan^3theta (d^2y)/(dx^2)

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  13. If x=asec^3theta and y=atan^3theta Show that ((d^2y)/(dx^2))(theta=p...

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  14. Consider the function f(x)={(1-x,x<0),(1,x=0),(1+x,x>0):} Complete t...

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  15. Consider the function f(x)={(1-x,x<0),(1,x=0),(1+x,x>0):} Draw a rou...

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  16. Consider the function f(x)={(1-x,x<0),(1,x=0),(1+x,x>0):} Draw a rou...

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  17. Consider the equation sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) Simplify the ...

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  18. Consider the equation sqrt(1-x^2)+sqrt(1-y^2)=a(x-y) Prove that dy...

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  19. Match the following.

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  20. If y=e^(acos^-1x) , then show that (1-x^2)y2-xy1-a^2y=0

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