A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
use implicit differentiation to find the slope of the tangent line to the curve
3^x + log_2(xy) = 10
at the point (2,1) and use it to find the equation of the tangent line in the form y = mx + b
 2 years ago
use implicit differentiation to find the slope of the tangent line to the curve 3^x + log_2(xy) = 10 at the point (2,1) and use it to find the equation of the tangent line in the form y = mx + b

This Question is Closed

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0differentiate it and get the differential equation 3^x*ln(3) + 1/(xy)*{1+xdy/dx} = 0 find value of dy/dx which is .. roughly 21 http://www.wolframalpha.com/input/?i=3%5E2*ln%283%29+%2B+1%2F2%281%2Bx%29+%3D+0 which is the slope of the tangent, since you know slope m, and you have point (2,1) find the value of b, you have your tangent

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0oops sorry, slope is around 1.05 http://www.wolframalpha.com/input/?i=3%5E2*ln%283%29+%2B+1%2F%282%281%2Bx%29%29+%3D+0

experimentX
 2 years ago
Best ResponseYou've already chosen the best response.0is that log base 2??

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.2I got this: \[(\ln 3)3^x+\frac{1}{(\ln 2)xy}\left(x\frac{dy}{dx}+y\right)=0\]

Nodata
 2 years ago
Best ResponseYou've already chosen the best response.2you can solve for \[\frac{dy}{dx}\] and substitute the coordinates given. so you'll have the slope.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.