Question
Find the rate of change of $p$ with respect to $x$ by differentiating implicitly $(x$ is the number of items that can be sold at a price of $\$ p$ ).$$x=\sqrt{10,000-p^{2}}$$
Step 1
The function is $x=\sqrt{10,000-p^{2}}$. Show more…
Show all steps
Your feedback will help us improve your experience
Dwijendra Rao and 50 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the rate of change of $p$ with respect to $x$ by differentiating implicitly $(x$ is the number of items that can be sold at a price of $\$ p$ ). $$ x=\sqrt{10,000-p^{2}} $$
Additional Derivative Topics
Implicit Differentiation
Find the rate of change of $p$ with respect to $x$ by differentiating implicitly $(x$ is the number of items that can be sold at a price of $\$ p$ ). $$ x=p^{2}-2 p+1,000 $$
For the demand equations find the rate of change of p with respect to $x$ by differentiating implicitly $(x$ is the number of items that can be sold at a price of $\$ p$ ). $$ x=\sqrt{10,000-p^{2}} $$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD