Teaching AP DSC School Assistant 2025 Mock Test Series Mathematics Differential Calculus Evaluation of derivatives
If \(\tan ^{-1}\left(\frac{2}{3^{-x}+1}\right)=\cot ^{-1}\left(\frac{3}{3^{x}+1}\right)\), then which one of the following is true ?
1
There is no real value of x satisfying the above equation.
2
There is one positive and one negative real value of x satisfying the above equation.
3
There are two real positive values of x satisfying the above equation.
4
There are two real negative values of x satisfying the above equation.