A curve has equation y=f(w). Determine an expression for the slope of the tangent line at P(5,f(5))?

Answer 1

The slope of the tangent line to a function at a given point is found via the derivative.

Thus, slope of f(x) = f'(x). In this case, it would be written as:
slope of tangent line for f(5) = f'(5).