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 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 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 Approximations in Calculus, Approximating Change/Error in Function y=f(x) w.r.t Change/Error in x, and Approximating Function y = f(x+Dx) using its Derivative.

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