NEED HELP WITH THIS MATLAB PROBLEM. USE SAME OUTPUTS AND INPUTSNAMES. NEED TO GET THE ASSESSMENTS CORRECT. THANK YOU.
Need Help With This Matlab Problem Use Same Outputs And Inputs Names Need To Get The Assessments Correct Thank You 1 (245.86 KiB) Viewed 50 times
The derivative of a function can be used to calculate the slope of the function at a given point. However, the slope of a function at point x, can be estimated using the function: f(x₁+1)-f(x₂) X+1X slope= 10 9 8 7 6 5 4 3 2 1 0 0 -f(x) -slope at x=1 approx. of slope 0.5 1 (1,f(1)) 1.5 X 2 (2,1(2)) 2.5 3 (3,f(3)) 3.5 As you can see in the figure, the slope at x;= 1 is 2, but two estimates of the slope using the equation are also shown. X₁+1=3 slope approx=4 X₁+1=2 slopex=3 As the increment between the two points, inc = x+1-x;, decreases, the slope approximation approaches the true slope. Therefore if we make the increment small enough, we can get a good approximation of the slope at that point. However, since the increment size required to get a good approximation varies from function to function and even point to point, this method is often implemented in an indefinite loop where the increment is decreased every iteration until two consecutive approximations of the slope are within a given tolerance. Find the slope of the following equation at the point specified using the approximation method. 5.x² log (7x) Start with an increment of 1, and reduce the increment by half until the two consecutive approximations are within 0.01% of each other.
Script 1 2 % Inputs 3 x the location where the slope of the line is being approximated 4 Variables to be used 5 6 7 Intermediate inc - the increment between the x_(i+1) and x_(i) which will start at 1 8 & Outputs 9% slope the final approximation of the slope at the specified point. 15 % Program 16 Start writing your program here 17 10 11 % Inputs 12 This generates the scalar, X, with a random value which will be used as the point where the slope should be found 13 x rand*9+1 14 Assessment: While Loop Check Save C Reset Slope MATLAB Documentation ▶ Run Script Submit ?
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