Implicit Differentiation AND Chain Rule Combined [y^5 + x^(2)y^(3) = 1 + ye^(x^2)]

Implicit Differentiation AND Chain Rule Combined [y^5 + x^(2)y^(3) = 1 + ye^(x^2)]
Implicit Differentiation AND Chain Rule Combined [y^5 + x^(2)y^(3) = 1 + ye^(x^2)]

Implicit differentiation can be tricky. In fact I think it's probably the most requested topic on my channel. It's tricky for a few reasons. But it can be even harder when you have to start combining it with other derivative methods and tricks, like chain rule for example.
So in this video I'm going to be showing you an example of how to solve an implicit differentiation problem by solving for dy/dx in a problem that requires the use of chain rule and also product rule.
Kind of a lot to keep track of. So I really wanted to break it down and make it as simple for you as possible. So by the end of this video you should be feeling a bit more comfortable with implicit differentiation combined with other methods of taking derivatives. If that sounds good be sure to stick around to the end of the video. So without further ado let's go ahead and jump into the problem and I'll show you what I'm talking about.

The problem is
Find the dy/dx by Implicit Differentiation
y^5 + x^(2)y^(3) = 1 + ye^(x^2)

Chapters
0:00 Introduction
0:52 The problem
1:39 Finding function and variable
2:00 Finding derivative of the equation part by part
2:47 using product rule
4:35 Applying product rule and chain rule together
7:57 Simplification
10:54 Solve for the problem

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#jakes_math_lesson #implicit_differentiation #chain_rule

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[JakesMathLessons]

0:00 Introduction
0:52 The problem
1:39 Finding function and variable
2:00 Finding derivative of the equation part by part
2:47 using product rule
4:35 Applying product rule and chain rule together
7:57 Simplification
10:54 Solve for the problem