Now take the derivative of the answer from the previous step and simplify the answer from part a. Check to make sure that the two results are the same. That​ is, using either​ approach, StartFraction dy Over dx EndFraction
equals
  
enter your response here. 

It seems like you're referring to a multi-step calculus problem where the derivative \(\frac{dy}{dx}\) is calculated using two different approaches. Since you mention “part a,” I assume you’ve already found the derivative of a function in that step and now need to verify the result by simplifying and comparing the approaches.

However, since I don't have the specific function or details from your "previous step," I can walk you through a general outline of how to handle such a problem:

1. **Step 1: Recall the result from part a**: Find the derivative of the function as you did in the earlier step.

2. **Step 2: Differentiate the function again using another approach (possibly applying a different rule)**, such as:
   - Using implicit differentiation
   - Applying logarithmic differentiation (if applicable)
   - Differentiating directly based on a specific rule (product rule, chain rule, etc.)

3. **Step 3: Simplify the result** from both approaches and ensure they match.

Once I have the function or more context from the previous step, I can compute the derivatives and walk through the comparison.

Feel free to share the function you are working with, or any specific steps you need help clarifying.

Let me know if you want any clarifications! Here are 5 relative questions you might explore:

1. What is the function you are differentiating?
2. Are you applying the product or chain rule in the derivative?
3. Did you simplify all terms in part a fully?
4. Are you using implicit or explicit differentiation?
5. Does the function involve exponentials, trigonometric, or logarithmic components?

**Tip**: Always double-check the simplification steps as missing a small factor can lead to errors when comparing results.

Now take the derivative of the answer from the previous step and simplify the answer from part a. Check to make sure that the two results are the same. That​ is, using either​ approach, StartFraction dy Over dx EndFraction equals enter your response here.

Explore how to verify the derivative of a function using two different methods, ensuring the results match. This problem involves concepts like implicit differentiation, the chain rule, and simplification. Suitable for advanced high school or college-level calculus students.

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