Derivatives
Definition of Derivative
The formal limit definition that explains the concept of instantaneous rate of change.
The derivative of a function represents the slope of the tangent line at a point. The formal definition is given by the limit: f'(x) = lim(h→0) [f(x+h) - f(x)] / h. This is the foundation for rules like the Power Rule and Product Rule.
Solve Examples with Definition of Derivative
More Calculus Topics
Fundamental Theorem of Calculus
The theorem that links the concept of differentiating a function with the concept of integrating a function.
Trigonometric Derivatives
A guide to the derivatives of sine, cosine, tangent, and other trig functions.
U-Substitution
The integration counterpart to the chain rule.