Question

Use linear approximation, i.e. the tangent line, to approximate the square root of 49.2 as follows:
Let f(x) = square root of x.
The equation of the tangent line to f(x) at x=49 can be written in the form y=mx+b.
What is m and what is b?

Answer 1

+/- 7 + 1/(2 sqrt(49)) (x-49)