Basic Functions and Their Derivatives
A compact derivative table for powers, exponentials, logarithms, trigonometric functions, and chain-rule variants.
A compact derivative table for powers, exponentials, logarithms, trigonometric functions, and chain-rule variants.
Core differentiation rules for sums, products, quotients, compositions, exponentials, logarithms, and inverse functions.
The derivative as a limit, tangent slope, instantaneous rate of change, and motion-related quantity.
A map of derivatives from their limit definition to rules, critical points, and curve analysis.
How derivatives support critical-point analysis, monotonicity, concavity, implicit differentiation, and Newton's method.