Original
You might think that the step in which we solve for {{MATH_153}} could
sometimes be difficult. In fact, {{CMD_154}}this never happens{{CMD_155}}. All
occurrences {{MATH_156}} arise from applying the chain rule, and
whenever the chain rule is used it deposits a single {{MATH_157}}
multiplied by some other expression. Hence our expression is linear in
{{MATH_158}}, it will always be possible to group the terms containing
{{MATH_159}} together and factor out the {{MATH_160}}, just as in the
previous examples.