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If tan (inverse x)^2 then show …

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If tan (inverse x)^2 then show that ( 1+x^2)^2y2 +2x(1+x^2)^2 y1 -2=0.

Posted by Simranpreet Kaur 4 years, 1 month ago

CBSE > Class 12 > Mathematics

1 answers

Suryakant Swain 4 years, 1 month ago

y=(tan⁻¹x)² Diff.both sides y₁= 2tan⁻¹x/1+x² y₁(1+x²)=2tan⁻¹x Diff.both sides y₂(1+x²)+2xy₁= 2/1+x² y₂(1+x²)²+2y₁x(1+x²)= 2 (proved) Note- y₁=dy/dx , and y₂=d²y/dx

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