34 ' Find the derivative of f {y} = $. '9' Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin(2z] or {o 5]} (1 + n]. Include a multiplication Sign between Symbols. For example, a. - 11'. for} = oe Show your work and explain, in your own words, how 1you arrived at your answer. I apologize for any confusion earlier. Let's double-check the derivative of the function f (y) - 8)V/7 In(y) To find f'(y), we will use the quotient rule, which states that if f (y) = u(y) v(y) , then: (v(y) )2 In this case, u(y) - (84) v/7 and v(y) - In(y). Now, let's find the derivatives of u(y ) and v(y): 1. u(y) = (84) 17 is a constant, so its derivative is 0: u'(y) = 0 2. v(y) = In(y) has a derivative of -: v'(y) = Now, we can apply the quotient rule: f'(y) - (ujuly)-ulyjuly) 0-In(y)-(81) 17.1 (v(y) )- (In(y))-Simplifying: (84 )V7 f'(y) = (84 )/7 (In(y) )= y(In(y))- The final answer for f'(y ) is indeed: f' (y) = - (81)V/7 y(In(y))? This is the correct derivative of the given function. If there are any further concerns or questions, please feel free to ask