df(x) The first derivative of a function f(x) at a point x = xo can be...

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df(x) The first derivative of a function f(x) at a point x = xo can be approx- dx imated with the two-point central difference formula: df(x) _ f(x+h)-f(xo-h) dx 2h Where h is a small number. Write a user-defined function that calculates the derivative of a math function f(x) by using the two-point central difference formula. For the user-defined function name, use dfdx=deriv (func, x0), where func is a name for the function that is passed into deriv, and x0 is the point where the derivative is calculated. Use h = 0.001 in the two-point central difference formula. Use the user-defined function deriv to calculate the following derivatives in your main script: 1. f(x)=sin(x) at x0 = 0 2. f(x)=sin(x) at x0 = pi/2 3. f(x)=x* sin(x)e* at x0 = 0.1 4. f(x)=x* at x0 = 2.3 (Note that this is hard to compute analytically, but easy to compute with MATLAB df(x) The first derivative of a function f(x) at a point x = xo can be approx- dx imated with the two-point central difference formula: df(x) _ f(x+h)-f(xo-h) dx 2h Where h is a small number. Write a user-defined function that calculates the derivative of a math function f(x) by using the two-point central difference formula. For the user-defined function name, use dfdx=deriv (func, x0), where func is a name for the function that is passed into deriv, and x0 is the point where the derivative is calculated. Use h = 0.001 in the two-point central difference formula. Use the user-defined function deriv to calculate the following derivatives in your main script: 1. f(x)=sin(x) at x0 = 0 2. f(x)=sin(x) at x0 = pi/2 3. f(x)=x* sin(x)e* at x0 = 0.1 4. f(x)=x* at x0 = 2.3 (Note that this is hard to compute analytically, but easy to compute with MATLAB

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import math def derivfunc x0 h 0001 return funcx0 h funcx0 h 2 h Define the ... View the full answer