Define linear approximation as an application of the tangent to a curve. {{CMD_4}} Find the linear approximation to a function at a point and use it to approximate the function value. {{CMD_5}} Identify when a linear approximation can be used. {{CMD_6}} Label a graph with the appropriate quantities used in linear approximation. {{CMD_7}} Find the error of a linear approximation. {{CMD_8}} Compute differentials. {{CMD_9}} Use the second derivative to discuss whether the linear approximation over or underestimates the actual function value. {{CMD_10}} Contrast the notation and meaning of {{MATH_11}} versus {{MATH_12}}. {{CMD_13}} Understand that the error shrinks faster than the displacement in the input. {{CMD_14}} Justify the chain rule via the composition of linear approximations. {{CMD_15}}