 Hi, and welcome to our session. Let us discuss the following questions. The question stage shows that the function given by fx equals to log x divided by x as maximum at x equals to e. Let's now begin with the solution. We are given that fx is equal to log x divided by x. Differentiating both sides with respect to x, we get that x equals to x into derivative of log x, that is 1 by x minus log x into derivative of x, that is 1 divided by x squared. And this is equal to 1 minus log x divided by x squared. For maximum or minimum value, so we have 1 minus log x divided by x squared equals to 0. This implies 1 minus log x is equal to 0. This implies log x is equal to 1, x is equal to e dash x. And this is equal to derivative of 1 minus log x. Using quotient rule, minus log x divided by x squared is equal to 1 minus log x. That's 1 divided by n to derivative of x squared to e divided by e to the power 4 to minus e divided by e to the power 4. And this is equal to minus 1 by e to the power 3. And this is less than 0, e dash x is, we can say that, maximum. So we have shown that fx equals to log x divided by x as maximum.