Calculus HW question

Question

Find an equation of the tangent line to the graph of the function at the given point.

f(x)=(x+1/x-3)^2 ;(7,4)

Answer 1

Find the tangent line at (a, f(a)). where a is a given value of x.

1) You need to find f(a) by substituting a for x in the function.

2) You need to find the derivative of f(x) evaluated at a (i.e. f'(a)).

3) The equation of the tangent is a line with slope f'(a) and includes the point (a, f(a))

y - f(a) = f'(a)(x-a) will be the equation.

Good luck!