Antiderivatives
Definition
Antiderivatives are functions that, when differentiated, yield the original function. They represent the reverse process of differentiation.
Analogy
Think of antiderivatives as a time machine that takes you back to the original function. Just like how reversing a recipe brings you back to the ingredients, finding an antiderivative brings you back to the original function.
Related terms
Integration: Integration is the process of finding antiderivatives. It involves adding up infinitely many tiny changes in order to find the total change.
Constants of Integration: Constants of integration are arbitrary constants that appear when finding antiderivatives. They account for all possible solutions and represent different starting points on the graph.
Fundamental Theorem of Calculus: The Fundamental Theorem of Calculus states that if a function is continuous on an interval, then its definite integral can be evaluated using antiderivatives.
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