Calculus I (Differential Calculus)
- 3 hours on-demand video
- Full lifetime access
- Access on mobile and TV
- Certificate of Completion
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- Take the derivative of polynomial, rational, natural exponential, logarithmic, trigonometric, and inverse trigonometric functions.
- Understand how to use the product, quotient, and chain rule.
- You should have taken Algebra I, Algebra II, Geometry and a Precalculus Course.
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. 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.
- College Students or high school students taking a first course in calculus.
This video introduces basic differentiation rules to find the derivative of polynomials and natural exponential functions. This video covers the derivative of a constant, the power rule, and the derivative of a natural exponential function.
This video continues going over how to find the derivative of functions formed by products of functions by using the product rule. This videos goes over 5 examples illustrating how to find the derivative of functions by writing a general expression and using values that are provided to find the derivative at a given value of x.