Question

How do you find the slope of a tangent line to the graph of the function `sqrtx` at (4,2)?

Answer 1

The slope of the tangent line to the graph of `sqrtx` at `(4,2)` is `1/4`.

Explanation:

Given a function `f(x)`, the slope of the tangent line to the graph of `f` at a point `c` is given by `f'(c)`.
`f(x)=sqrtx`
Slope at `x=4` is equal to `f'(4)=1/(2sqrt4)=1/4`.