Let {{MATH_30}}. Using the alternate expression for the derivative, find the slope of the tangent line to the curve {{MATH_31}} at the point {{MATH_32}}. {{CMD_33}} The slope of the tangent line is given by the derivative, {{MATH_34}}. {{MATH_35}} Now substitute in for the function we know, {{MATH_36}} Now expand the numerator of the fraction, {{MATH_37}} Now combine like-terms, {{MATH_38}} Factor an {{MATH_39}} from every term in the numerator, {{MATH_40}} Compute the limit, {{MATH_41}} {{CMD_42}} {{CMD_43}}