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If log(x^2+y^2)=2tan^(-1)(y/x) , then, s...

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

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. Find d/dxabs(x^3-7x) . Also , find the point at which the derivative d...

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  2. Match the following.

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

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

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

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

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

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

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

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

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

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

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  13. Match the following.

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

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  15. Match the following.

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  16. Differentiate the following y=1/(5x^2+3x+7)

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  17. Differentiate the following y=3cosec^4(7x)

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  18. Differentiate the following y=e^(2log tan5x)

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  19. Consider f(x)={((x^2-x-6)/(x+2),x ne-2),(-5,x=-2):} Find f(-2)

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  20. Consider f(x)={((x^2-x-6)/(x+2),x ne-2),(-5,x=-2):} Check whether th...

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