### 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!

$\frac{d}{dx}(x^{2}+y^{2})=\frac{d}{dx}(1)$
The text passage provides a mathematical problem that involves finding the derivative of a circle's equation using implicit differentiation. It also gives hints and steps to solve the problem but does not provide the final answer.
single_question
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
### 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!

$\frac{d}{dx}(x^{2}+y^{2})=\frac{d}{dx}(1)$
user
The text passage provides a mathematical problem that involves finding the derivative of a circle's equation using implicit differentiation. It also gives hints and steps to solve the problem but does not provide the final answer.

TYPE: SINGLE_QUESTION