In this video, we dive into a calculus problem involving parametric equations. We are given two functions: \( y = \frac{t}{2 + t^2} \) and \( x = 2 + t^2 \). Our goal is to find the derivative \(\frac{dy}{dx}\).
We will walk you through the step-by-step process, including:
1. Finding \(\frac{dy}{dt}\)
2. Finding \(\frac{dx}{dt}\)
3. Using the chain rule to determine \(\frac{dy}{dx} = \frac{dy/dt}{dx/dt}\)
By the end of this video, you'll have a clear understanding of how to approach and solve similar problems using parametric differentiation. Perfect for students and anyone looking to brush up on their calculus skills.
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#Calculus #ParametricEquations #Derivative #MathTutorial #dy/dx
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Негізгі бет Calculating {dy}/{dx} for y = {t}/{2 + t²} and x =( 2 + t²)
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