Answer:
alpha = 2
beta = -6
Step-by-step explanation:
let everything inside the ln be 'a'
use the chain rule to to differentiate ln a with respect to a
since the differentiation of lnx is 1/x , the differentiation of lna will be 1/a
after the differentiation, you will get: [tex]\frac{1}{a}[/tex] X [tex]\frac{d[(x+1)^{2}X (2x-1)^{2} ] }{dx}[/tex]
you need to use the product rule to differentiate the second part, then multiply 1/a by both the equations being added
replace a with its actual value
you will get [tex]\frac{2}{x + 1}[/tex] and [tex]\frac{-6}{2x -1}[/tex]
by comparing it to the given equation, we get α = 2 and β = -6
