Question
Find the shortest distance between the line $y=x-2$ and the curve $y=x^{2}+3 x+2$
Step 1
The derivative of a function gives us the slope of the tangent line at any point on the curve. The derivative of $y=x^{2}+3 x+2$ is $y'=2x+3$. Show more…
Show all steps
Your feedback will help us improve your experience
Varsha Aggarwal and 86 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 shortest distance between the curves $y^{2}=4 x$ and $x^{2}+y^{2}-12 x+31=0 .$
The Tangent and Normal
Level I
Find the shortest distance between the curves $x^{2}+y^{2}=2$ and $x y=9 .$
The Maxima and Minima
Find the shortest distance between the curves $y^{2}=4 x$ and $x^{2}+(y+12)^{2}=1$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD