We will cover following issues in these videos-
- Newton’s iteration
- Mean Value Theorem
- Rolles theorem
- Stationary points and extrema Continue reading
4 Videos from Newton’s iteration to stationary points
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Tag Archives: differential calculus
2 Videos on increasing and decreasing functions
We will cover following issues in these videos-
- Increasing decreasing function
- First derivative and second derivative test
2 Videos explaining the difference between linear and quadratic approximation
2 Videos explaining the difference between linear and quadratic approximation
We will cover following issues in these videos-
- Explanation for having half of the second derivative in quadratic approximation
- Quadratic approximation of the product of a function Continue reading
3 Quadratic approximation videos
Next 3 videos explain and discuss quadratic approximation with example of sinx and cosx.
We will cover following issues in these videos-
- Quadratic Approximation
- Quadratic Approximation of sin x
- Quadratic Approximation of cos x
3 Videos on Importance of approximation and finding product approximation
Next 3 videos discuss importance of linear approximation as well as finding the approximation for a function which is the product of two functions.
We will cover following issues in these videos-
- Importance of approximation
- Find approximation of a product of two functions
- Find approximation of a product of two functions directly Continue reading
3 Linear approximation examples
Next 3 videos will discuss linear approximation points for sinx and cosx . Also we will discuss about changing the base of the function using different point.
We will cover following issues in these videos-
- Linear approximation of sinx near 0
- Linear approximation of cosx near 0
- Shifting base in approximating Continue reading
3 Linear approximation concepts
Next 3 videos explain the concept of linear approximation of a function.
We will cover following issues in these videos-
- Linear approximation of a function
- Linear approximation of lnx
- Maths behind Linear approximation
4 Exponential base and value videos
Next 3 videos will be on shifting base, differentiating x^x and finding the numerical value of e. and the last video uses ln and e to differentiate x^a.
We will cover following issues in these videos-
- Shifting to base e
- Derivative of x^x
- Numerical value of e
- Derivative of x^a using exponential and ln Continue reading
3 logarithmic differentiation videos
Next 3 videos will teach the concept of logarithmic differentiation as well as use of it.
We will cover following issues in these videos-
- Derivative of lnx
- Derivative a^x using ln
- Derivative of e^x using ln
2 exponential function videos
Next 2 videos will explain the exponential function and its inverse
We will cover following issues in these videos-
- What is e
- Inverse of exponential Continue reading
4 Different aspects of differentiation
Next 4 videos will deal with chain rule of differentiation, implicit differentiation, some interesting relations.
We will cover following issues in these videos-
- Chain rule of differentiation
- Relationship between x^n and n!
- Implicit Differentiation
- Differentiating arcTanx Continue reading
2 Product rule and Quotient rule of differentiation videos
Next 2 videos will derive the product rule and quotient rule of differentiation
We will cover following issues in these videos-
- Product rule of differentiation
- Special case of quotient rule Continue reading
3 Geometrical proofs of trigonometric identities
Next 3 videos will give some insight about the geometry behind some trigonometric identities.
We will cover following issues in these videos-
- Geometric proof of derivative of sinx
- Geometric proof of lim x->0 sinx/x = 1
- Geometric proof of lim x->0 1-cosx/x = 0
2 Trigonometric derivatives: sin(x) and cos(x)
In these two videos we will workout the derivative of sinx and cosx using the first principles method.
We will cover following issues in these videos-
- Derivative of sin x first principles
- Derivative of cos x Continue reading
1 Concept on usability of Derivative: Speed
In this video we will relate the concept of speed with derivative.
We will cover following issues in these videos-
- Physical speed interpretation of a derivative Continue reading
2 Videos deriving the derivative of x^n
In the following videos we will discuss the differentiation process of x^n in 2 different ways.
We will cover following issues in these videos :
- Extension to derivative x^n
- Derivative of x^n Continue reading
3 Derivative of a function videos
The 3 videos in this post will take you through a road of calculus building up your conceptual basics thoroughly. The first video will teach you the meaning of a derivative as well as define a viable formula to calculate the derivative of a function at a given point.
Next 2 videos are examples build up the concept into an application form. We will use the first principles rule of differentiation in order to solve the given questions. Continue reading
3 limits ,continuity & discontinuities concepts
The following videos will discuss the concept of limit, continuity and discontinuities of function at a given point.
We will cover following issues in these videos-
- Defining Limit of a Function
- Defining Continuity
- Discontinuities
