Question

If y = y(x) and it follows the relation $e^{xy}+ycosx=2$, then which of the following is/are correct?

• A. $y^{{}^{\prime }}\left(0\right)=0$
• B. $y^{\prime \prime }\left(0\right)=0$
• C. $y^{{}^{\prime }}\left(0\right)=-1$
• D. $y^{\prime \prime }\left(0\right)=2$

Answer 1

Answer: (C), (D)

The correct options are
C $y^{{}^{\prime }}\left(0\right)=-1$
D $y^{\prime \prime }\left(0\right)=2$

Differentiate the given equation with respect to x twice