Application of Derivatives

This topic covers concepts, such as, Application of Derivative, Rate of Change of Quantities, Derivative as (Instantaneous) Rate of Change of a Function & Instantaneous Rate of Change of a Function w.r.t. another Function etc.

This topic covers concepts, such as, Approximations in Calculus, Approximating Change/Error in Function y=f(x) w.r.t Change/Error in x & Approximating Function y = f(x+Dx) using its Derivative etc.

This topic covers concepts, such as, Tangents and Normals, Geometrical Meaning of Derivative of a Function, Subnormal to a Curve & Length of Subnormal etc.

This topic covers concepts, such as, Orthogonal Intersection of Two Curves, Interaction between Two Curves, Equation of Common Normals to Two Curves & Shortest Distance between Two Curves etc.

This topic covers concepts, such as, Points of Inflection of a Function in an Interval, Monotonicity of a Function, Proving Inequalities Using Curvature of a Function & Radius of Curvature at a Point on a Curve etc.

This topic covers concepts, such as, Maxima and Minima of a Function, Existence of Maxima and Minima of a Function in an Interval, Maxima & Minima by Higher Order Derivative: Nth Derivative Test etc.

This topic covers concepts, such as, Mean Value Theorems, Rolle's Theorem, Cauchy's Mean Value Theorem & Solving Inequalities Using LMVT etc.