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If y= tan^(-1)x, then find (d^(2)y)/(dx^...

If `y= tan^(-1)x`, then find `(d^(2)y)/(dx^(2))` in terms of y alone.

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The correct Answer is:
`-sin (2y) cos^(2)y`
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-NCERT Exemplar Problems and Solution (Short Answer Type Questions)
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  3. If y= tan^(-1)x, then find (d^(2)y)/(dx^(2)) in terms of y alone.

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  7. Verify the Rolle's theorem for each of the function in following quest...

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  10. Find the points on the curve y= cos x-1 in x in [0, 2pi], where the ta...

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  11. Using Rolle's theorem, find the point on the curve y= x (x-4), x in [0...

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  12. Verify mean value theorem for each of the functions: f(x) = (1)/(4x-...

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  13. Verify mean value theorem for each of the functions: f(x)= x^(3)-2x...

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  14. Verify mean value theorem for each of the functions: f(x)= sin x- s...

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  15. Verify mean value theorem for each of the functions: f(x)= sqrt(25-...

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