KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Differentiation-Composite, Implicit & Inverse function Chapter: Implicit Differentiation Reference: – Implicit Functions, Implicit equations, Derivatives of Implicit relations, Chain rules, Slope of tangent lines, Equation of tangent line, Implicit differentiation, Higher order derivatives, vertical & Horizontal Tangent lines, Curve sketching, Optimization, Trigonometric Functions. After studying this […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Differentiation-Composite, Implicit & Inverse function Chapter: Chain Rule for Composite Functions Reference: – Composite Functions, Differentiation of composite functions, Chain rule, Power functions, Exponential functions, Logarithmic functions, Hyperbolic functions, Implicit, Multiple compositions, Parametric equations, Higher Dimensions, Partial Derivatives. After studying this chapter, you should be able […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Differentiation-Fundamental Properties Chapter: Elementary Functions Reference: – Elementary Functions, Polynomial Functions, Exponential functions, Logarithmic functions, Power rules, Trigonometric functions, Composite functions, Chain rules, Quotient rules, Inverse functions, Rational functions, Domain & Range, Absolute value functions. After studying this chapter, you should be able to: Introduction & […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Differentiation-Fundamental Properties Chapter: Continuity & Differentiability Reference: – Continuous, Discontinuous, Point of Discontinuity, Removable Discontinuity, jump discontinuity, Tangent line, Differentiation, Derivatives, Cusp, Critical point, Piecewise function, Continuity implication, Types of continuity & Differentiability, Mixed properties, Rules & Formation. After studying this chapter, you should be […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Differentiation-Fundamental Properties Chapter: Derivation of a Function Reference: – Derivative, Rate of change, Tangent line, Instantaneous rate of change, Slope of a line, Higher order derivatives, Differentiability, Chain rule, Product rule, Quotient rule, Dependent variables, Properties of a function, Curvature, Growth & Decay After studying this […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Limits & Continuity Chapter: Asymptote, Squeeze & Intermediate value theorem Reference: – Behaviour of a function, Different types of Asymptotes, Continuity of a function, Piecewise functions, Existence of Root Methods, Infinite & Asymptote limits, Bisection methods, Oblique Functions, Vertical Asymptotes, Exponential functions, Logarithmic limits, Squeeze theorem, […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Limits & Continuity Chapter: Continuity of a Function & Domain Reference: – Jump & Infinite Continuous function, Interval of continuity, Continuity & Limits, Piecewise functions, Domain Restrictions, Infinite & Asymptote limits, Uniform Continuity, Common Functions, Vertical Asymptotes, Exponential limits, Logarithmic limits, Hole in the domain, Behaviour […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Limits & Continuity Chapter: Definition & Properties of Limits Reference: – Limit laws, Epsilon-delta notation, Algebraic properties of limits, Limits functions, Continuous & Discontinuous limits, Infinite & Asymptote limits, Intermediate value theorem, L-Hospital Rule, Squeeze theorem, Exponential limits, Logarithmic limits, Concept of limits, Behaviour of limits […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Functions involves Parameters, Vectors & Matrices Chapter: Vectors for Motion of Object Reference: – Basic vectors, Scalar, Vector, Vector representation, Vector addition, Vector subtraction, Position, Displacement & Velocity, Velocity vectors, Acceleration, Projectile motion, Effect of gravity, Tangent vectors, Normal vectors, Arc length, path Integral. After studying […]
KAPDEC® | Elite STEM Learning Platform | https://kapdec.com Unit: Functions involves Parameters, Vectors & Matrices Chapter: Transformational Matrix on a graphical object Reference: – Matrix and their types, Addition of matrix, Subtraction of matrix, Multiplication of matrix, Properties of scalar multiplication, Transpose of a matrix, Elementary Operation of a matrix, Invertible matrices. After studying […]