Application of Derivatives
Mathematics Solutions from Chapter -1 - Application of Derivatives
This chapter covers topics, such as Tangent and Normal, Intersection between Two Curves, Maxima and Minima, Derivative as Rate of Change, Monotonicity, and Mean Value Theorems.
Practice Other Topics from Application of Derivatives
This topic covers concepts, such as Approximations in Calculus, Rate of Change of Quantities, Derivative as (Instantaneous) Rate of Change of a Function, Approximating Change/Error in Function y=f(x) w.r.t Change/Error in x, etc.
This topic covers concepts, such as Equations of Tangent at a Point on a Curve y=f(x), Tangents and Normals, Slopes of Normal at a Point on a Curve y=f(x), Subnormal to a Curve, Geometrical Meaning of Derivative of a Function, etc.
This topic covers concepts, such as Equation of Common Tangents to Two Curves, Orthogonal Intersection of Two Curves, Two Curves Touches Each Other, Asymptotes of a Curve y=f(x) Using its Derivative, Equation of Common Normals to Two Curves, etc.
This topic covers concepts, such as Concavity of a Function at a Point, Turning Points of the Graph of a Function, Test for Increasing and Decreasing Function in an Interval, Strictly Increasing/Decreasing Function about a Point, etc.
This topic covers concepts, such as Geometrical Interpretation of LMVT, Rolle's Theorem, Algebraic Interpretation of Rolle's Theorem, Mean Value Theorems, Lagrange's Mean Value Theorem, Geometrical Explanation of Rolle's Theorem, etc.
This topic covers concepts, such as Existence of Maxima and Minima of a Function in an Interval, Critical Points for a Discontinuous Function, First Derivative Test: a Necessary Condition for an Extrema (Theorem), Maxima, etc.
