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8.12 Given the function f(x) = (x^2 + square root X) cos (x)/sin (x), find the value of the first derivative at x = 2.

8.12

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Given the function f(x) = (x^2 + square root X) cos (x)/sin (x), find the value of the first derivative at x = 2. Use analytical differentiation by hand. Use the four-point central difference formula with x_i-2 = 1.96, x_i=1 = 1.98, x_i+1 = 2.02, and x_i+2 = 2.04. Write a MATLAB program in a script file to carry out the calculations

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