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Implicit Differentiation: Practice 6 - Applied to Trig Equations (Calculus 1)
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Video Summary & Time links
Summary:
The video is a tutorial on practicing implicit differentiation, specifically applying it to trigonometric equations. The instructor differentiates the equation sin(x*y)=cos(x+y). Using the process of implicit differentiation here involves the chain rule, product rule, and the properties of trigonometric functions. The instructor emphasizes the importance of understanding composite functions and the steps involved in implicit differentiation.
Table of Contents:
0:00 - Introduction to the topic and the equation to be differentiated.
1:15 - Explanation of composite functions and the chain rule.
2:30 - Differentiating the left side of the equation.
3:45 - Differentiating the right side of the equation.
5:00 - Applying the product rule and simplifying the equation.
6:15 - Grouping terms and factoring out
7:30 - Final solution
Summary:
The video is a tutorial on practicing implicit differentiation, specifically applying it to trigonometric equations. The instructor differentiates the equation sin(x*y)=cos(x+y). Using the process of implicit differentiation here involves the chain rule, product rule, and the properties of trigonometric functions. The instructor emphasizes the importance of understanding composite functions and the steps involved in implicit differentiation.
Table of Contents:
0:00 - Introduction to the topic and the equation to be differentiated.
1:15 - Explanation of composite functions and the chain rule.
2:30 - Differentiating the left side of the equation.
3:45 - Differentiating the right side of the equation.
5:00 - Applying the product rule and simplifying the equation.
6:15 - Grouping terms and factoring out
7:30 - Final solution
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