How to Use Implicit Differentiation for Derivatives

TL;DR

To use implicit differentiation, differentiate both sides of an equation with respect to a variable, applying the chain rule and product rule as needed. Isolate the derivative term to solve for it. This technique is crucial for finding derivatives of implicit functions effectively.

Transcript

in this video we're going to talk about how to do implicit differentiation so let's say if you have this function x cubed plus let's say y cubed is equal to 8 and you want to find d y d x at let's say you want to just find d y d x so what we need to do is differentiate both sides with respect to x so that's d over dx the derivative of x to the thir... Read More

Key Insights

• ❓ Implicit differentiation is a technique for finding derivatives of implicit functions.
• 📏 The process involves differentiating both sides of an equation with respect to a variable and applying rules like the chain rule and product rule.
• 🍉 It is important to isolate the derivative term in order to solve for it.

Summary & Key Takeaways

• Implicit differentiation involves differentiating both sides of an equation with respect to a particular variable to find the derivative of an implicit function.

• The process involves applying the chain rule and product rule as necessary, and isolating the derivative term.

• Multiple examples are provided, demonstrating how to find derivatives of implicit functions step by step.