Brief Summary
Calculus I focuses on differential calculus, teaching you how to find derivatives of various functions with fun video tutorials. From polynomials to trigonometric functions, you’ll learn it all! Get ready for an exciting math journey!
Key Points
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Introduction to differential calculus
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Derivatives of polynomials and natural exponential functions
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Product and quotient rules for differentiation
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Trigonometric and inverse trigonometric function derivatives
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Logarithmic differentiation and implicit differentiation
Learning Outcomes
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Find derivatives of polynomial, rational, and natural exponential functions
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Understand and apply the product, quotient, and chain rules
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Differentiate trigonometric and inverse trigonometric functions
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Master implicit differentiation techniques
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Use logarithmic differentiation effectively
About This Course
Videos on a first course in calculus (Differential Calculus).
Calculus I is designed primarily for those students planning to pursue programs in engineering, mathematics, computer science, and physical sciences. This course includes topics of differential and integral calculus of a single variable. This course contains a series of video tutorials that are broken up in various levels. Each video builds upon the previous one.
In this first course in Calculus (Differential Calculus) you will learn various differentiation rules that will allow you to find derivatives without the direct use of the limit definition. We will first learn how to find the derivative of polynomials and natural exponential functions.
Then we will shift gears and learn how to apply the product and quotient rule. We will then learn how to find the derivative of trigonometric functions. Â After that, we will learn how to use the chain rule to find the derivative of more complicated functions.
We will then learn how to differentiate via implicit differentiation. We will follow up with derivatives of inverse Trigonometric Functions and logarithmic functions. We will end the video series by learning how to differentiate via logarithmic differentiation.
After going over these videos you should be armed with the basic skills necessary to find the derivative of various functions.
Take the derivative of polynomial, rational, natural exponential, logarithmic, trigonometric, and inverse trigonometric functions.
Understand how to use the product, quotient, and chain rule.
Learn the basics of differentiation.
Michael W.
Instructor is EXCELLENT!!!