(g(x))^2 + 8x = x^2 g(x) + 37

Calculus
Tutor: None Selected Time limit: 1 Day

suppose that (g(x))^2 + 8x = x^2 g(x) + 37

and that g(2) = 7

what is g'(2)

Apr 2nd, 2015

2y*y'+8=2xy+y'*x^2

2*7*y'+8=28+y'*4

y'=2, g'(2)=2

...............................................................................................................................................................................

Apr 2nd, 2015

This answer is correct. Thank you. But how did you get 28 from 2xy?

Apr 2nd, 2015

2xy=2x*g(x)

Since g(2)=7, we know that x=2 and g(2)=y=7

so 2xy=2*2*7=28

Apr 2nd, 2015

o thank you so much! 

Apr 2nd, 2015

You are welcome. 

Apr 2nd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Apr 2nd, 2015
...
Apr 2nd, 2015
May 30th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer