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ONLY MATLAB please The 5-Point Centered Difference Approximation to the First Derivative Mis soluciones > The numerical derivative of a function f(x) at a value
ONLY MATLAB please
The 5-Point Centered Difference Approximation to the First Derivative Mis soluciones > The numerical derivative of a function f(x) at a value x is typically found using a linear combination of function values which is based on a given set of x-values known as a stencil. The stencil points are typically uniformly spaced about and include x (but not necessarily). The formula for the derivative is derived by various manipulations of the Taylor series of the function at the x-values in the stencil and is referred to as a finite difference formula. One class of finite difference formulas is based on a stencil of uniformly spaced x-values that includes and is centered about a given point x. These are called centered finite difference formulas. The five-point centered finite difference approximation for the first derivative of a function is given as: f(x)=12hf(x2h)8f(xh)+8f(x+h)f(x+2h) with discretization error 301f(5)()h4. Here h is the spacing of the x-values and is an unknown point in the domain. Write a function firstDerCentered that estimates the first derivative of a function using the five-point centered finite difference formula for uniformly spaced points given above. Your function should accept two inputs: - f = a vector of function values computed at uniformly spaced x-values - h = step size of the uniformly spaced x-values and return one output - df= the first derivative of f Your function should compute the first derivative using the five-point centered finite difference formula above for the values in f and store the result in the variable df. Your solution should also satisfy the following requirements: 1. Make sure that the output vector df is the same size as the input vector f and that the first two and the last two elements of df are NaN. 2. Do not use a loop in your function. 3. Do not use the MATLAB functions diff or gradient. A polynomial function test case has been provided in the 'Code to call your function' box. If the result seems reasonable, submit your function for assessment. Funcin 8 123456functiondf=firstDerCentered(f,h)%Computethe5pointcenteredfinitedifferencevectordf.%MakesurethefirstandlasttwovaluesofdfareNaN.df= Cdigo para llamar a la funcin ? C Restablecer \begin{tabular}{l|l} 1 & h=0.1 \\ 2 & x=0:h:0.7 \\ 3 & f=1+x+x4 \\ 4 & df= firstDerCentered (f,h) \end{tabular}Step by Step Solution
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