Asked by Macy
The line y=2x+b is tangent to the graph of y=x^1/2 at the point P=(a, a^1/2). Find P and determine b.
I don't know what to do because they don't give you the x coordinate or anything to plug into the derivative. Help?
I don't know what to do because they don't give you the x coordinate or anything to plug into the derivative. Help?
Answers
Answered by
bobpursley
y=sqrt x
y'=1/(2sqrtx)
but y=2x+b, slope is 2, so
2=1/(2sqrtx)
sqrt x=1/4
x=+ 1/2
solve for y.
y'=1/(2sqrtx)
but y=2x+b, slope is 2, so
2=1/(2sqrtx)
sqrt x=1/4
x=+ 1/2
solve for y.
Answered by
Macy
thank you soo much!
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.