Question

How do i find the equasion of the tangent line to a function at a given point?

Answer 1

for the function f(x) at point x0
1. find the slope - m - of the tangent line
the slope will be the derivative of f(x) at x0 :
m = f'(x0)

2. now we have a slope and since we can find f(x0) [the value of the function at that point]
we can construct our tangent line equation :
y = f(x0) + m(x-x0)