Application of Derivatives

IMPORTANT

Mathematics Solutions from Chapter -1 - Application of Derivatives

This chapter covers topics, such as, Monotonicity, Maxima and Minima, Mean Value Theorem, Derivative as Rate of Change, Errors and Approximations, Tangent and Normal & Interaction between two Curves etc.

Practice Other Topics from Application of Derivatives

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.

Mathematics>Calculus>Application of Derivatives>Derivative as Rate of Change

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, Tangents and Normals, Geometrical Meaning of Derivative of a Function, Subnormal to a Curve & Length of Subnormal etc.

Mathematics>Calculus>Application of Derivatives>Interaction between two Curves

This topic covers concepts, such as, Orthogonal Intersection of Two Curves, Interaction between Two Curves, Shortest Distance between Two Curves & Asymptotes of a Curve y=f(x) Using its Derivative 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, Mean Value Theorems, Rolle's Theorem, Cauchy's Mean Value Theorem & Solving Inequalities Using 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, Maxima & Minima by Higher Order Derivative: Nth Derivative Test etc.