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In constructing functions we do need to take some care with how our outputs are returned; we have already seen that if the function is called with a vector then the “output” is, in general, a vector. However, there is no reason why there should not be two (or more) outputs returned. ˆ2+2*x+1; fprime = 6*x+2; ✫ ✪ This MATLAB function calculates the values of the polynomial and its derivative. 5:5; [func,dfunc] = evaluate_poly2(x); ✒ ✑ We can further generalise our code by passing the coefficients of the quadratic to the function, either as individual values or a vector.
Y = (sin x)2 4. y = sin 2x + x cos 4x 5. y = x/(x2 + 1) 6. y = cos x 1+sin x 7. 01. 1. 9 (D) The following code is supposed to evaluate the function f (x) = (x3 x2 cos πx , + 1)(x + 2) 26 1. Simple Calculations with MATLAB for x ∈ [0, 1] (using 200 steps). Correct the code and check this by evaluating the function at x = 1 using f(200) which should be −1/6. 10 (D) Debug the code which is supposed to plot the polynomial x4 − 1 between x = −2 and x = 2 using 20 points. 1 and give the value of the function at x = 2 and x = 3.
The reason for this can be seen by typing which power which produces the output >> which power power is a built-in function. So MATLAB will try to run the built-in function. 1 Functions In the previous sections we wrote codes which could be legitimately run at the MATLAB prompt. We now discuss the important class of codes which actually act as functions. These codes take inputs and return outputs. m. It is important that we get the syntax for functions correct so we’ll go through this example in some detail.