Posted by Ali on Saturday, November 17, 2012 at 2:37pm.
If √x+√y=10 and y(16)=36, find y'(16) by implicit differentiation.
If somebody could please help me by explaining how to solve this problem ! Thank you (:

Calculus [Implicit Differentiation]  Steve, Saturday, November 17, 2012 at 10:39pm
just take d/dx of each term in the equation. (f+g)' = f' + g', so you can treat each term on its ow.
Recall that dx/dx = 1, so
√x+√y=10
1/(2√x) dx/dx + 1/(2√y) dy/dx = 0
1/(2√x) + 1/(2√y) y' = 0
at x=16, y=36, so
1/(2*4) + 1/(2*6) y' = 0
y' = (1/8) * 12 = 3/2
Answer This Question
Related Questions
 Calculus 1  implicit differentiation  I do not understand implicit ...
 Calculus 1  implicit differentiation  I do not understand implicit ...
 PreCalculus  When you do implicit differentiation, how does D = √(x^2 + ...
 Implicit differentiation calculus  PLEASE HELP , I DON'T UNDERSTAND find dy/dx ...
 calculus  A. find y' by implicit differentiation. B. solve th equation ...
 Calculus  How do you use imlicit differentiation to differentiate e^(xy)? I ...
 Calculus 1 Implicit differentiation  Help please help me understand what i am ...
 Math  Calculus Question.  hey can someone explain to me the relationship ...
 PreCalculus  Find the slope of the tangent line to the curve √(1x+2y...
 Calculus: implicit differentiation  Find dy/dx by implicit differentiation 1. x...
More Related Questions