Problem 1 (3 points). What is the derivative of 235 me) = ? (31/ m l I (This is a simplified version of a function that comes up in physics called Planck's Law!) Problem 2 (3 points). Using implicit differentiation, nd y' given that: 1172632 + 2y = 5. 1 VlIQ (Example 1 in the Section 2.7 slides) and Example 2.7.1 nds the derivative for arcsin(m). The other derivatives of the inverse trigonometric functions, summarized in Theorem 2.7.2, can be found similarly. Show that Problem 3 (6 points). We showed in class that the derivative of arccos(:r) is d t () 1 arcana: = . d3: 1+3? Note: Yes, it is easy to nd the answer to this problem online. Please try it yourself rst though and ask questions if you are stuck. If you do use a solution from somewhere else, remember that you need to give the reference, explain what exactly you took from there, and write up the answer exactly how you understand it