Analytically calculate the gradient and Hessian of the the following function: f(x)=log where x = R...

  

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Analytically calculate the gradient and Hessian of the the following function: f(x)=log where x = R is a variable, and pe R is a given vector of parameter such that p. 1 and p, 0 for all i. Implement two functions in Python to evaluate this gradient and Hessian, respectively for any given input vectors x and p. Provide an example for p = (0.2.0.3.0.1.0.4) and x = (1.2.-1.4)" to test your function. Analytically calculate the gradient and Hessian of the the following function: f(x)=log where x = R is a variable, and pe R is a given vector of parameter such that p. 1 and p, 0 for all i. Implement two functions in Python to evaluate this gradient and Hessian, respectively for any given input vectors x and p. Provide an example for p = (0.2.0.3.0.1.0.4) and x = (1.2.-1.4)" to test your function.