Question

Use linear approximation, i.e. the tangent line, to approximate the sqrt(64.1) as follows:
Let f(x)=sqrt(x) . The equation of the tangent line to the graph of f(x) at x=64 can be written in the form y=mx+b. What is m? What is b?

Answer 1

u can write the equation of the tangent?

Answer 2

y=64^1/2?

Answer 3

suppose u have been given a graph y =f(x)
then u can write the equation of tangent at a point (x1, y1)?

Answer 4

In the above diagram...there is a graph of some function y=f(x)...right?

Answer 5

now AP is the tangent to the graph at point P...fine?

Answer 6

@ akash are you using differentials or using linearization?