Answer and Step-by-step explanation:
To define f'(x), we need more information about the function f(x). The expression "f'(x) =" suggests that we are looking for the derivative of the function f(x) with respect to x.
The derivative of a function represents the rate of change of that function at a given point. It gives us the slope of the tangent line to the graph of the function at that point.
In this case, if we are given that the slope k of the tangent line at the point (1, 2) is equal to something, we can use this information to find the derivative at that point.
If the slope of the tangent line at (1, 2) is represented by k, then we can say:
f'(1) = k
This means that the derivative of f(x) at x = 1 is equal to k.
However, without further information about the function f(x), we cannot determine the specific value of k or the general expression for f'(x).
In summary, to define f'(x) and find the slope k of the tangent line at (1, 2), we need more information about the function f(x).