Find the derivative of \( \begin{array}{l}y=4 e^{\sin x} \\ y=2 x^{5} \cos x\end{array} \)

\( y ^ { \prime } + y = x \sqrt[ 3 ] { y ^ { - 2 } } \)

\( f(x)=\left(x^{2}+1\right)^{2} \) es

Evaluate the double integral \[ I=\iint_{A} 18 y e^{x^{2}} d x d y \] when \( A \) is the region in the first quadrant bounded by the graphs of \[ x=y^{2}, \quad x=2, \quad y=0 \] 1. \( I=18\left(e^{4}+1\right) \) 2. \( I=\frac{9}{2}\left(e^{4}-1\right) \) 3. \( I=9\left(e^{4}-1\right) \) 4. \( I=\frac{9}{2} e^{4} \) 5. \( I=\frac{9}{2}\left(e^{4}+1\right) \)

a) \( \lim _{x \rightarrow-2} \frac{x^{2}+3 x+6}{(x+2)^{2}} \)

\( f^{\prime}(x)=\frac{x^{2}-4}{2 x} \) calcuber \( f^{\prime \prime}(x) \)