1) Let f(x) be a continuous, everywhere differentiable function
and g(x) be its derivative. If f(c) = n and g(c) = d, write the
equation of the tangent line at x = c using only the variables y,
x, c, n, and d. You may use point-slope or slope-intercept but do
not introduce more variables.
2) Let f(x) be a continuous, everywhere differentiable function.
What kind information does f'(x) provide regarding f(x)?
3) Let f(x) be a continuous, everywhere differentiable...