🎯 Derivatives & Their Application | Complete Concept | HP CBSE Maths Teacher,One Shot By Nitesh Sir🔥

Описание: 🎯 Derivatives & Their Application | Complete Concept | HP CBSE Maths Teacher,One Shot By Nitesh Sir🔥
What We Will Cover in This Class :
DERIVATIVES AND THEIR APPLICATIONS: Derivative of a function,
derivative of composite functions, chain rule, derivatives of trigonometric and
inverse trigonometric functions, derivative of implicit function., Concepts of
exponential, logarithmic functions. Logarithmic differentiation. Derivative of
functions expressed in parametric forms. Second order derivatives. Successive
differentiation, Leibnitz’s theorem.
Indeterminate forms, Rolle’s theorem,
Lagrange’s & Cauchy Mean Value theorems, Taylor’s theorem with Lagrange’s
and Cauchy’s forms of remainder, Taylor’s series. Maclaurin’s series. Concavity,
Convexity & Points of Inflexion, Curvature, Radius of curvature, center of
curvature, Asymptotes, Singular points, Double point, Functions of several
variables (upto three variables): Limit and Continuity of these functions Partial
differentiation, Euler’s theorem on homogeneous functions, Maxima and
Minima with Lagrange Multipliers Method (two variables), Jacobian (upto three
variables).Applications of derivatives: Rate of change, increasing/decreasing
functions, tangents and normals, approximation, maxima and minima (first
derivative test motivated geometrically and second derivative test. Problems
(that illustrate basic principles and understanding of the subject as well as real
life situations).

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