if y=[1/(b^2-a^2)^1/2]log[{(b-a)^1/2}+{(b-a)^1/2}tanx/2]/[{(b+a)^1/2}-{(b-a)^1/2}tanx/2] then prove that dy/dx-sec^2(x/2)/(b+1)-(b-a)tan^2(x/2).

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if y=[1/(b^2-a^2)^1/2]log[{(b-a)^1/2}+{(b-a)^1/2}tanx/2]/[{(b+a)^1/2}-{(b-a)^1/2}tanx/2] then prove that dy/dx-sec^2(x/2)/(b+1)-(b-a)tan^2(x/2).

if y=[1/(b^2-a^2)^1/2]log[{(b-a)^1/2}+{(b-a)^1/2}tanx/2]/[{(b+a)^1/2}-{(b-a)^1/2}tanx/2] then prove that dy/dx-sec^2(x/2)/(b+1)-(b-a)tan^2(x/2).

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if y=[1/(b^2-a^2)^1/2]log[{(b-a)^1/2}+{(b-a)^1/2}tanx/2]/[{(b+a)^1/2}-{(b-a)^1/2}tanx/2] then prove that dy/dx-sec^2(x/2)/(b+1)-(b-a)tan^2(x/2).

if y=[1/(b^2-a^2)^1/2]log[{(b-a)^1/2}+{(b-a)^1/2}tanx/2]/[{(b+a)^1/2}-{(b-a)^1/2}tanx/2] then prove that dy/dx-sec^2(x/2)/(b+1)-(b-a)tan^2(x/2).

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