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If y=sin^(-1)x/sqrt(1-x^2) prove that ...

If `y=sin^(-1)x/sqrt(1-x^2)` prove that
`(1-x^2)y_2-3xy_1-y=0`

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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
  1. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y^2=(sin^(-1)x)^2

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  2. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y1-xy=1

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  3. If y=sin^(-1)x/sqrt(1-x^2) prove that (1-x^2)y2-3xy1-y=0

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  4. At what point on the curve y=x^2 , x in [-2,2] at which the tangent is...

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  5. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  6. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  7. If f(x)=(sqrt((1+px))-sqrt((1-px)))/x , -1lex<0 =(2x+1)/(x-2) , 0lex...

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  8. If ax^2+2hxy+by^2=1 Find dy/dx

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  9. If ax^2+2hxy+by^2=1 Find (d^2y)/(dx^2)

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  10. Consider the function y=x^xsqrtx Express the above function as logy=...

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  11. Consider the function y=x^xsqrtx Find dy/dx

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

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

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

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

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

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

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

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

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  20. Define absx

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