if (g(x)=x,f(2)=7,and f'(2)=6. what is g'(&)?

To find g'(&), we need to evaluate the derivative of g(x) at some specific value of x. However, the given information does not provide any explicit relationship between f(x) and g(x). Therefore, we cannot directly determine g'(&) just from f(2), f'(2), and g(x).

If there is a known relationship between f(x) and g(x), we could use that information to find g'(&). For example, if it is given that g(x) = f(x), then we can say g'(&) is equal to f'(2) because the derivative of f(x) at x = 2 is given as f'(2).

However, without such a relationship, we cannot determine the value of g'(&) solely based on the given information. Additional information or a specific relationship between f(x) and g(x) would be needed to find the value of g'(&).