Use logarithmic differentiation to find dy/dx. y = (x + 1)(x − 4)/ (x − 1)(x + 4) , x > 4 dy dx =

dy/dx = (x + 1)(x-4)/(x-1)(x+4)[1/(x+1) + 1/(x-4) -1/(x-1) -1/(x+4)

Step-by-step explanation:

Here, we want to find the derivative using logarithmic differentiation.

What we will do here is to first take the natural logarithm of both sides, then we proceed to differentiate afterwards.

Please check attachment for complete solution and step by step explanation.

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.