text: ## Calculus (3rd Edition)
  
  The tangent line at $x=0$ is given by $$y=1.$$
  Since $y=x^3+\cos x$, then the slope at $x=0$ is given as follows $$y'=3x^2-\sin x\Longrightarrow m=y'(0)=0.$$ The equation of the tangent line at $x=0$ is given by $$y=(0)x+c=c.$$ To find $c$ we use the fact that the tangent line and the curve coincide at $x=0$, so we have $y(0)=1=c$. Hence the equaion of the tangent line at $x=0$ is given by $$y=1.$$
explanation: The text extract is from a Calculus textbook and provides a detailed explanation of how to find the equation of the tangent line to the curve \( y = x^3 + \cos x \) at \( x = 0 \). It includes the steps to calculate the slope and the y-intercept, and it concludes with the equation of the tangent line. The extract does not contain a question but rather a detailed solution to a problem.
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: ## Calculus (3rd Edition)
  
  The tangent line at $x=0$ is given by $$y=1.$$
  Since $y=x^3+\cos x$, then the slope at $x=0$ is given as follows $$y'=3x^2-\sin x\Longrightarrow m=y'(0)=0.$$ The equation of the tangent line at $x=0$ is given by $$y=(0)x+c=c.$$ To find $c$ we use the fact that the tangent line and the curve coincide at $x=0$, so we have $y(0)=1=c$. Hence the equaion of the tangent line at $x=0$ is given by $$y=1.$$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text extract is from a Calculus textbook and provides a detailed explanation of how to find the equation of the tangent line to the curve \( y = x^3 + \cos x \) at \( x = 0 \). It includes the steps to calculate the slope and the y-intercept, and it concludes with the equation of the tangent line. The extract does not contain a question but rather a detailed solution to a problem.
  
  Label: no-question