Question

How do you find the slope of the secant lines of `f(x) = sqrtx` at P(4,2)?

Answer 1

See below

Explanation:

`(f(4+h)-f(4))/((4+h)-(4)) = (sqrt(4+h)-2)/h`

`= ((sqrt(4+h)-2))/h ((sqrt(4+h)+2))/((sqrt(4+h) +2))`

`= ((4+h)-4)/(h(sqrt(4+h)+2)`

`= 1/((sqrt(4+h)+2)`