Determine the slope of the tangent m, for each of the following functions. Then determine the equation of the tangent line at x=1.

For f(x) = 1/x^3

The slope of the function is the derivative f'(x) = -1/(2x^2)

When x = 1, the slope is -1/2

The value of f(x) = y at x=1 is y = 1

Fit a line with the equation
y = x + b through the point (1,1).