Editing Significant figures (section)

=== Transcendental functions ===
If a [[transcendental function]] <math>f(x)</math> (e.g., the [[exponential function]], the [[logarithm]], and the [[Trigonometric function|trigonometric functions]]) is differentiable at its domain element 'x', then its number of significant figures (denoted as "significant figures of <math>f(x)</math>") is approximately related with the number of significant figures in ''x'' (denoted as "significant figures of ''x''") by the formula

<math> {\rm(significant ~ figures ~ of ~ f(x))} \approx {\rm(significant ~ figures ~ of ~ x)} - \log_{10} \left ( \left\vert{\frac{df(x)}{dx} \frac{x}{f(x)}}\right\vert \right ) </math>,

where <math> \left\vert{\frac{df(x)}{dx} \frac{x}{f(x)}}\right\vert </math> is the [[condition number]].