Using the moment-generating function of Example 7.8, show that the mean and variance of the chi-squared distribution

Question:

Using the moment-generating function of Example 7.8, show that the mean and variance of the chi-squared with v degrees of freedom are, respectively, v and 2v
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...