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Show that the segment of the tangent to ...

Show that the segment of the tangent to the curve `y=a/2I n((a+sqrt(a^2-x^2))/(a-sqrt(a^2-x^2)))-sqrt(a^2-x^2)` contained between the y=axis and the point of tangency has a constant length.

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CENGAGE-APPLICATION OF DERIVATIVES-Examples
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  7. Prove that the equation of the normal to x^(2/3)+y^(2/3)=a^(2/3) is yc...

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  8. If the area of the triangle included between the axes and any tangent ...

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  9. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

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  10. If the tangent at (x1,y1) to the curve x^3+y^3=a^3 meets the curve aga...

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  14. If f is continuous and differentiable function and f(0)=1,f(1)=2, then...

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  15. Let a , b , c be three real numbers such that a<b<cdotf(x) is continuo...

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  16. Use the mean value theorem to prove e^xgeq1+xAAx in R

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  17. Show that the square roots of two successive natural numbers greater ...

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  18. Using Rolles theorem, prove that there is at least one root in (45^(1/...

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  19. For a twice differentiable function f(x),g(x) is defined as g(x)=f^(pr...

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  20. about to only mathematics

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