Yapay Zeka Kalkülüs Çözücüsü

Calculus Topics We Solve

Differentiation

Differentiation from first principles, the chain rule, product rule, quotient rule, implicit differentiation, parametric differentiation, and logarithmic differentiation. The solver identifies which rule is needed and shows each step, handling composite functions, trigonometric derivatives, exponentials, logarithms, and inverse trigonometric functions.

Integration

Integration by recognition, substitution, parts, partial fractions, and trigonometric identities. For definite integrals, working shows evaluation at both limits. The solver also handles improper integrals, area between curves, volumes of revolution, and the trapezium rule.

Differential Equations

Separable differential equations, first-order linear equations with integrating factors, second-order homogeneous and non-homogeneous equations, and simple harmonic motion. Both general and particular solutions are shown when initial conditions are given.

Limits & Continuity

Evaluating limits using algebraic manipulation, L'Hôpital's rule, the squeeze theorem, and standard limits. The solver identifies indeterminate forms and applies the correct technique.

University-Level Calculus

Beyond A-Level, our solver handles multivariable calculus (partial derivatives, gradient, divergence, curl), vector calculus, line and surface integrals, Green's theorem, Stokes' theorem, and the divergence theorem.

See also our Cebir, Geometri, İstatistik, GCSE Matematik, and A-Level Matematik.