Application of Derivatives

This topic covers concepts such as Application of Derivative, Rate of Change of Quantities, Average Rate of Change of a Function, Instantaneous Rate of Change of a Function, Derivative as (Instantaneous) Rate of Change of a Function, etc.

This topic covers concepts such as Tangents and Normals, Geometrical Meaning of Derivative of a Function, Tangent to a Curve, Slopes of Tangent at a Point on a Curve y=f(x), Equations of Tangent at a Point on a Curve y=f(x), etc.

This topic covers concepts such as Interaction between Two Curves, Intersection of Two Curves, Angle of Intersection of Two Curves, Orthogonal Intersection of Two Curves, Two Curves Touches Each Other, Equation of Common Tangents to Two Curves, etc.

This topic covers concepts such as Monotonicity of a Function, Monotonically Increasing/Decreasing Function in an Interval, Strictly Increasing/Decreasing Function in an Interval, Test for Increasing and Decreasing Function in an Interval, etc.

This topic covers concepts such as Mean Value Theorems, Rolle's Theorem, Geometrical Explanation of Rolle's Theorem, Algebraic Interpretation of Rolle's Theorem, Lagrange's Mean Value Theorem, Geometrical Interpretation of LMVT, etc.

This topic covers concepts such as Maxima and Minima of a Function, Existence of Maxima and Minima of a Function in an Interval, Global Maximum and Minimum of a Function, Local Maximum and Minimum of a Function, etc.