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This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary points and determine their nature, and use information abou
YES THE VIDEO STARTS MID-QUESTION - BEAR WITH IT PLS This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary point
YES THE VIDEO STARTS MID-QUESTION - BEAR WITH IT PLS This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary point
YES THE VIDEO STARTS MID-QUESTION - BEAR WITH IT PLS This is a 8 part series of DIFFERENTIATION which includes: Video 1 : https://youtu.be/Lbj0pVYK-A8 Video 2 : https://youtu.be/zOofa2AGRZk Video 3 : https://youtu.be/iuUfT-wtpjM Video 4 : https://youtu.be/YQtwlqjr73E Video 5 : https://youtu.be/y60PjgmL1_E Video 6 : https://youtu.be/QCPhQo4DHmY Video 7 : https://youtu.be/f2msawreWuQ Video 8 : https://youtu.be/yVfOt5kjleQ These videos explains how to: 1. Understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations f′(x), f ″(x), dy/dx and d2y/dx2 for first and second derivatives. 2. Use the derivative of xn (for any rational n), together with constant multiples, sums and differences of functions, and of composite functions using the chain rule. 3. Apply differentiation to gradients, tangents and normals, increasing and decreasing functions and rates of change. 4. Locate stationary point