Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

For y= ⁻¹ ( e x^2 e / x^2 )+ ⁻¹ ( 3+2 x 1-6 x ) , the value of d^2 y d x^2 at x=1 , is equal to

Correct answer

Step-by-step solution

The given function is y= ⁻¹ ( 1+2 x 1-2 x )+ ⁻¹ ( 3+2 x 1-6 x ) Let =2 x, =3 so that aligned y & = ⁻¹ ( 4 + 1- 4 )+ ⁻¹ ( + 1- ) & = ⁻¹ ( ( 4 + ) )+ ⁻¹( ( + )) & = 2 - ( 4 + )+ + = 4 + = 4 + ⁻¹ 3= constant & d ^2 y dx ^2 =0 aligned

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