May you please provide an explanation on how derivatives worked to find the answer. Thank you in advance

Problem 3 Consider an individual with the following utility function u(W) = W1/2 Here initial wealth is 10 and she faces the gamble X defined by X = -5 with probability } +5 with probability } (a)(i) What is the exact value of the Certainty Equivalent and the Risk Premium? What does these capture intuitively? (a) (ii) Compute the variance of the gamble X. (a)(iii) Compute the Absolute risk aversion (i.e. use: A(W.) = ""(W). Can we say that this individual is risk Averse? Why or Why not? (a)(iv) Compute the Relative risk aversion. Can we say that this individual is risk Averse? Why or Why not? (a)(v) Compute the Prudence of this individual (i.e. use: P(W) = u"(w) ). Can we say that this individual is risk Prudent? Why or Why not? 3 (b) If the utility function becomes u(W) = Wi/4 answer again parts (a) (iii)-a(v). Which of the utility functions makes the individual more risk Averse (in relative sense)? Which of