The number of tree species s in a given area a in the pasoh forest reserve in malaysia has been modeled by the power function s(a) = 0.882a0.842 where a is measured in square meters.† find s'(107). (round your answer to five decimal places.)

s'(107) means the value of derivative of s(a) at a = 107. So, first step is to find the derivative of s(a).


Taking derivative of both sides, we get:


Taking the common out from right hand side of the equation:


Applying the power rule of derivative:



Now we can substitute 107 in place of a to get s'(107):


Thus the value of s'(107) rounded to 5 decimal places is 0.35494