Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Differential Calculus Evaluation of derivatives
The derivative of In(x + sin x) with respect to (x + cos x) is
1
\(\frac{{1 + \cos {\rm{x}}}}{{\left( {{\rm{x}} + \sin {\rm{x}}} \right)\left( {1 - \sin {\rm{x}}} \right)}}\)
2
\(\frac{{1 - \cos {\rm{x}}}}{{\left( {{\rm{x}} + \sin {\rm{x}}} \right)\left( {1 + \sin {\rm{x}}} \right)}}\)
3
\(\frac{{1 - \cos {\rm{x}}}}{{\left( {{\rm{x}} - \sin {\rm{x}}} \right)\left( {1 + \cos {\rm{x}}} \right)}}\)
4
\(\frac{{1 + \cos {\rm{x}}}}{{\left( {{\rm{x}} - \sin {\rm{x}}} \right)\left( {1 - \cos {\rm{x}}} \right)}}\)