Calculus: Derivatives with Linear and Quadratic Functions & Partial Derivatives
Math
| Intermediate
- 10 Videos | 1h 22m 18s
- Includes Assessment
- Earns a Badge
Linear functions change at a constant rate, and that in turn, makes the rate of change of a linear function a constant. This and other related insights into linear and other mathematical functions can be quantified using calculus. Through this course, you'll examine the steps involved in applying the differentiation operation to study a moving particle. You'll then understand how the partial derivative of a function that depends on multiple independent variables is computed with respect to one of those independent variables by holding all other independent variables constant. This course will also allow you to investigate how partial derivatives play a crucial role in the training phase of building a machine learning (ML) model. Upon completion of this course, you will be able to compute the partial derivative of a function that depends on multiple independent variables and better understand the training process of a machine learning model.
WHAT YOU WILL LEARN
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discover the key concepts covered in this coursecompute derivatives of linearly changing functions using built-in functionsoutline derivatives and slopecompute the velocity of a moving particledescribe velocity and its relationship with trajectory
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outline how partial derivatives workcreate partial derivatives with multiple independent variablescompute partial derivatives of different functionsapply partial differentiation to training machine learning (ML) modelssummarize the key concepts covered in this course
IN THIS COURSE
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1.Course Overview1m 48sUP NEXT
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2.Calculating Derivatives on Linear Functions with Built-in Functions8m 18s
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3.Interpreting the Derivative as the Slope of a Tangent Line8m 53s
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4.Interpreting the Velocity of an Accelerating Particle8m 58s
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5.Modeling Velocity and Trajectory10m 57s
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6.Partial Derivatives7m 4s
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7.Computing Partial Derivatives11m 7s
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8.Performing More Partial Derivative Computations11m 3s
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9.Training Neural Networks with Partial Derivatives12m 25s
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10.Course Summary1m 45s
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