SOLUTION: Let {{{ ln(x-y) = xy }}} (a). Find {{{ dy/dx }}} at (1,0) (b). Write the equation of the tangent line to the graph at (1,0) Thank you

SOLUTION: Let {{{ ln(x-y) = xy }}} (a). Find {{{ dy/dx }}} at (1,0) (b). Write the equation of the tangent line to the graph at (1,0) Thank you

Algebra.Com

Question 991364: Let
(a). Find at (1,0)
(b). Write the equation of the tangent line to the graph at (1,0)

Thank you
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Differentiate implicitly,

So then,

Use the point-slope form of the tangent line,

.
.
.

.
RELATED QUESTIONS
Let ln(x-y) = xy find dy/dx at (1,0) Write the equation of the tangent line to the... (answered by richard1234)

Let y = {{{ 3x^4 - 5 }}} Find A,B, and C so that {{{ (dy)/(dx) = Ax^B + C }}} A =... (answered by jim_thompson5910,Alan3354)

Let x^2 + y^2 = 10y. First find dy/dx by implicit differentiation, simplifying the (answered by Edwin McCravy)

I have a question regarding finding the second derivative of a hyperbola... Find the... (answered by Alan3354)

All parts of this problem refer to the function below. y=(6+3x)5/x a) Use logarithmic... (answered by Solver92311)

Find a value of dy/dx at ( 1, 2) of the equation... (answered by Edwin McCravy)

Find the value of {{{(dy)/(dx)}}} when x= -1 and y= 1, given that {{{3x^2+4xy-xy^3 =... (answered by ikleyn)

Find dy/dx and calculate the gradient of the tangent to the curve y=1/square root 1+x at... (answered by Alan3354)

Hi Can somebody please help me with this problem Confirm that the point P(1,1) lies on... (answered by Fombitz)