Solved Example
Example 1: Find the derivative of y = cos (5x – 3y)?
Solution:
Given equation:
y = cos(5x – 3y)
Step 1: Differentiating both sides wrt x,
Step 2: Using Chain Rule
Step 3: Expanding the above equation
Step 4: Taking all terms with dy/dx on LHS
Step 5: Taking dy/dx common from the LHS of equation
Step 6: Isolate dy/dx
Example 2: Find the derivative of (x² + y²) ³ = 5x²y²?
Solution:
Given equation:
(x² + y²)³ = 5x²y²
Differentiating both sides:
Example 3: Find the derivative of ?
Solution:
Given equation:
Differentiating both sides:
Example 4: Find the derivative of y = ln(x)?
Solution:
Given equation:
y = ln(x)
=> ey = x
Differentiating both sides:
Similar Reads:
Implicit differentiation – Advanced Examples
In the previous article, we have discussed the introduction part and some basic examples of Implicit differentiation. So in this article, we will discuss some advanced examples of implicit differentiation.
Table of Content
- Implicit Differentiation
- Method to solve
- Implicit differentiation Formula
- Solved Example
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