Limits, Continuity & Differentiation

Evaluate limits of functions using standard formulas, L'Hôpital's rule, and factorization.

Check for continuity of a function at a point and over an interval.

Differentiate composite and implicit functions using the chain rule.

Differentiate inverse trigonometric and parametric functions.

Apply logarithmic differentiation for functions of the form f(x)^g(x).

Find higher-order derivatives of functions.

Find equations of tangents and normals to a curve at a given point.