nth Order Derivatives
A sequel to my earlier video on nth order derivatives. In high school, you learn derivatives upto 2nd order. Here, you realise how you can just about calculate any order derivative.
Radius of Curvature
You will understand the concept of radius of curvature and the various methods in which it can be calculated.The standard form, Cartesian form and the Polar form of the radius of curvature are discussed here.
Learn about pedal equations and Arc length. A slightly challenging topic!
nth order derivative
This video helps us to understand how to calculate nth order derivative using Leibnitz Theorem. It gives a recursive method of solving problems.
Taylor's Theorem and Maclaurin's Theorem
Taylor's and Maclaurin'e theorem are illustrated through examples. You will see how easily Maclaurins' theorem is derived from Taylor's Theorem. An interesting application!
Indeterminate form of limits
You will learn how to solve problems in indeterminate form of limits.You will learn the 0/0 form, infinity/infinity form and the logarithm method. A useful tool for class 12 and college students learning math.
Homogeneous equations and Euler'Theorem
You will learn more about homogeneous functions,Euler' Theorem and the concept of differential is introduced here.
Tangential and Normal Components of Acceleration
You will learn how to calculate the velocity and acceleration vector at time t and the components of the velocity and acceleration vector. You will also learn how to compute the components of the acceleration vector along the tangent and normal.
Gradient,Divergence and Curl
You will learn how to understand the difference between gradient and divergence which is slightly tricky to understand. The concept of curl of a vector and how to calculate it is also explained.
Reduction formula is a very powerful technique used to integrate higher powers of sine and cosine.You will also learn how to integrate powers of product of sine and cosine together with algebraic functions.
Exact Differential equations
You will learn what are exact differential equations and various methods on how to solve them. Three different types are discussed here.
Inverse Differential Operator
An exclusive video which teaches you about the inverse differential operator.You will learn how to use it to find the particular integral of trigonometric, hyperbolic ,algebraic and inverse hyperbolic functions.
Orthogonal Trajectories of a curve
A worthwhile session which will teach you how to calculate the orthogonal trajectories of a curve.
A select video lesson which teaches you about pedal equations and arc length.
Angle between 2 curves
A worthwhile lesson where you learn that angle between 2 curves is the same as the angle between their tangents. We discuss different cases here.
Radius of Curvature
You will learn alternative methods of computing the radius of curvature,I discuss the standard form, Cartesian form and Polar form of the radius of curvature.