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Find a point on the curve y=(x-2)^2 at w...

Find a point on the curve `y=(x-2)^2` at which the tangent is parallel to the chord joining the points `(1,1)` and `(4,4)`

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. Consider the function y=x^xsqrtx Find dy/dx

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  2. Verify mean value theorem for the function f(x)=(x-2)^2 in [1,4] .

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  3. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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  4. Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...

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  5. Differentiate x^(sinx) w.r.t. x

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  6. If x=at^2 , y=2at , then find dy/dx .

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

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

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

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  10. Define absx

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

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

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  13. Match the following.

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

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

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

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

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

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

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

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