Answer:
dy/dx at x=6 is 0.334
Step-by-step explanation:
The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:
[tex]\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334[/tex]