A) \[cos\text{ }2y-5\]
B) \[2cosy+5\]
C) \[cos\text{ }2y+5\]
D) \[2cos2y+5\]
E) \[2cos2y-5\]
Correct Answer: E
Solution :
\[2y={{\sin }^{-1}}(x+5y)\] \[\Rightarrow \] \[\sin 2y=x+5y\] \[\Rightarrow \] \[x=\sin 2y-5y\] On differentiating w.r.t. y, \[\Rightarrow \] \[\frac{dx}{dy}=2\cos 2y-5\]You need to login to perform this action.
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