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**Language is SCHEME (R5RS)** t. Recall the denniion or the derivative or a runcion irom calcuius (you will not need to know any clculus to

**Language is SCHEME (R5RS)**image text in transcribedimage text in transcribed

t. Recall the denniion or the derivative or a runcion irom calcuius (you will not need to know any clculus to solve this problem): By choosing very small values for h in the above equation, we can get a good approximation of f'(x) (a) Write a function (call it der for derivative) in ScHEME that takes a function f and a value for h as formal parameters so that (der f h) returns the function g defined by the rule g(x) = f(xth-f(x) (As Your function should take a function and a number h as arguments, and return a function.) rtant note: (b) Compare the derivative of sin(x), as computed by your function with h-.5, with the function cos(x) over at least 4 values (0, /2, , 3/4). 2 t. Recall the denniion or the derivative or a runcion irom calcuius (you will not need to know any clculus to solve this problem): By choosing very small values for h in the above equation, we can get a good approximation of f'(x) (a) Write a function (call it der for derivative) in ScHEME that takes a function f and a value for h as formal parameters so that (der f h) returns the function g defined by the rule g(x) = f(xth-f(x) (As Your function should take a function and a number h as arguments, and return a function.) rtant note: (b) Compare the derivative of sin(x), as computed by your function with h-.5, with the function cos(x) over at least 4 values (0, /2, , 3/4). 2

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