Calculus Word Search
Find 20 calculus terms hidden in the grid — derivatives, integrals, limits, and more. Each found word unlocks an encyclopedic definition.
How to Play
- Click and drag (or tap and swipe on mobile) to highlight a word in the grid.
- Words are hidden horizontally, vertically, and diagonally — in any of 8 directions.
- Check the word list on the right to see which terms remain.
- Finding a word unlocks its encyclopedic definition in a popup.
- Click Reveal to show a word's location (−50 pts penalty).
- Complete all words before the timer runs out for a time bonus!
Placing calculus terms in the grid…
Calculus Vocabulary: Essential Concepts
Calculus is the mathematics of change and accumulation — the two sides of the Fundamental Theorem that connects derivatives (rates of change) with integrals (accumulated totals). Understanding calculus vocabulary is the first step toward mastering this powerful branch of mathematics.
Derivative
The instantaneous rate of change — how fast a function's output changes at any given point. Written f′(x) or dy/dx, it gives the slope of the curve at any specific location.
Integral
The accumulation of quantities over an interval. The definite integral computes area under a curve, while the indefinite integral (antiderivative) reverses differentiation.
Limit
The value a function approaches as its input gets arbitrarily close to a point. Limits are the logical foundation of all calculus — both derivatives and integrals are defined using limits.
Optimization
Finding maximum or minimum values of a function using derivatives. Setting f′(x) = 0 locates critical points; the second derivative test determines which are maxima or minima.
Chain Rule
The rule for differentiating composite functions: d/dx[f(g(x))] = f′(g(x))·g′(x). The most-used differentiation technique — almost all real-world functions are compositions.
Series
The sum of infinitely many terms. Convergent series approach a finite limit; Taylor series represent functions as infinite polynomials, enabling calculators to evaluate sin, cos, and eˣ.