That is the first choice.
f(x) - f(a) / x - a is the slope of the line joining any point (x,, f(x) to the point wher x = a.
As x gets closer and closer to a, x - a approaches 0 until at the limit the slope at the point where x = a equals the tangent at this point.
Using derivative concepts, it is found that the correct option is:
The slope of the the tangent line to a function f(x) at x = a is given by [tex]f^{\prime}(a)[/tex].
As a limit, the derivative is represented by:
[tex]\lim_{x \rightarrow a} \frac{f(x) - f(a)}{x - a}[/tex]
In this problem, we have that:
[tex]\lim_{x \rightarrow a} \frac{f(x) - f(a)}{x - a} = 5[/tex]
Hence [tex]f^{\prime}(a) = 5[/tex], which means that the correct option is:
You can learn more about derivatives at https://brainly.com/question/8174665
