using Excel for both problems

When we discussed numerical differentiation, we derived a "2-point formula", a "3-point formula", and a "5-point formula" for calculating the first derivative of a function. Use these three methods to calculate the derivative of the function f(x) = sin x + (1 + x) ln(1 + x)-x, and plot them together with the actual derivative. Use steps h=0.2 and 0.5, and range x elmentof [0, 15] Use the trapezoid rule and the Simpson rule to calculate the integral integral^2 _0 1/ln(1 + x^-1) dx Compare your result, i.e., find the percentage error, with the actual value of this integral, as calculated with Maple. Use steps h=1, 0.5, 0.125, 0.03125 (which correspond to dividing the integration interval [0, 2] into 2, 4, 16, and 64 segments respectively). Summarize your results in a table like this: Why is the error in the calculation of this integral by the trapezoid rule so much larger than the error of the examples we did in class and in your home works? When we discussed numerical differentiation, we derived a "2-point formula", a "3-point formula", and a "5-point formula" for calculating the first derivative of a function. Use these three methods to calculate the derivative of the function f(x) = sin x + (1 + x) ln(1 + x)-x, and plot them together with the actual derivative. Use steps h=0.2 and 0.5, and range x elmentof [0, 15] Use the trapezoid rule and the Simpson rule to calculate the integral integral^2 _0 1/ln(1 + x^-1) dx Compare your result, i.e., find the percentage error, with the actual value of this integral, as calculated with Maple. Use steps h=1, 0.5, 0.125, 0.03125 (which correspond to dividing the integration interval [0, 2] into 2, 4, 16, and 64 segments respectively). Summarize your results in a table like this: Why is the error in the calculation of this integral by the trapezoid rule so much larger than the error of the examples we did in class and in your home works