A derived function is also known as a derivative or differential. It represents how one variable changes as another variable changes. It can also be described as a rate of change. Other synonyms for derived function include derived quantity, differential coefficient, slope, gradient, and rate of change function. These terms are often used in calculus and physics to describe how a given function changes over time. These synonyms allow for more versatility in the language of mathematical and scientific discussions, giving researchers and students a wider range of language options to express their theories and observations.