Application of Derivatives

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

This topic covers concepts, such as Application of Derivative of a Function for Detecting its Monotonicity about a Point, Monotonicity of a Function, Test for Increasing and Decreasing Function in an Interval, etc.

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

This topic covers concepts, such as Approximating Change/Error in Function y=f(x) w.r.t Change/Error in x, Approximations in Calculus, 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, Global Maximum and Minimum of a Function, Second Derivative Test: Sufficient Condition for an Extrema(Theorem), etc.