4 Videos from Newton’s iteration to stationary points

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We will cover following issues in these videos-

Newton’s iteration
Mean Value Theorem
Rolles theorem
Stationary points and extrema Continue reading →

2 Videos on increasing and decreasing functions

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We will cover following issues in these videos-

Increasing decreasing function
First derivative and second derivative test

Continue reading →

2 Videos explaining the difference between linear and quadratic approximation

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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

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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

Continue reading →

3 Videos on Importance of approximation and finding product approximation

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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

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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

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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

Continue reading →

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

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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

Continue reading →

2 exponential function videos

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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

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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

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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

Continue reading →

2 Trigonometric derivatives: sin(x) and cos(x)

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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

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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

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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

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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 →