c) Encuentre \( y^{\prime} \) si \( y^{5}+3 y^{2}-2 x^{4}=-4 \)

Question A toy rocket is launched from the ground with an initial velocity of 48 feet per second. The height of thenecket is modeled by \( h(t)=-16 t^{2}+48 t \), where \( h(t) \) is the height the rocket in feet, and \( t \) is the time in seconds. Which statement correctly describes the range of this situation? Answer The range means the rocket started at o feet and reached a maximum height of 48 feet.

39-48. First Derivative Test a. Locate the critical points off. b. Use the First Derivative Test to locate the local maximum and mini- mum values. c. Identify the absolute maximum and minimum values of the function on the given interval (when they exist). 39. \( f(x)=x^{2}+3 ;[-3,2] \)

h) \( \int \frac{d x}{\operatorname{sen} 5 x}= \)

\( \begin{array}{ll}y+z)^{2}+x+z=4 & \text { Poevo: } \\ \text { Hallar } \frac{\partial z}{\Delta x} & \\ & \end{array} \)

i) \( \int e^{x} \operatorname{cose}^{x} d x= \)