text: ### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem6-148
  
  6-148.
  
  The last remaining parent graph without a derivative is the circle $x^2 + y^2 = 1$. Find $\frac { d y } { d x }$ for this graph.
  
  Recall that a circle is NOT a function.
  Before differentiating, you could solve for $y$ and get
  Then find the derivative of each piece separately, or.....
  You could use implicit differentiation!
  
  $\frac{d}{dx}(x^{2}+y^{2})=\frac{d}{dx}(1)$
explanation: The document contains a math question asking for the derivative \(\frac{dy}{dx}\) of the circle \(x^2 + y^2 = 1\). It also provides a hint suggesting the use of implicit differentiation. The document does not contain an answer to the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: ### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem6-148
  
  6-148.
  
  The last remaining parent graph without a derivative is the circle $x^2 + y^2 = 1$. Find $\frac { d y } { d x }$ for this graph.
  
  Recall that a circle is NOT a function.
  Before differentiating, you could solve for $y$ and get
  Then find the derivative of each piece separately, or.....
  You could use implicit differentiation!
  
  $\frac{d}{dx}(x^{2}+y^{2})=\frac{d}{dx}(1)$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question asking for the derivative \(\frac{dy}{dx}\) of the circle \(x^2 + y^2 = 1\). It also provides a hint suggesting the use of implicit differentiation. The document does not contain an answer to the question.
  
  Label: question