Calculus. I need help!
posted by MILY .
HARDER PARTS WAS 3(x^2+y^2)^2=26(y^2+y^2)
Find the equation of the tangent line to the curve (a lemniscate) 3(x^2+y^2)^2=26(y^2+y^2) at the point (4,2). The equation of this tangent line can be written in the form y=mx+b where m is:? and where b is:?

The slope m is the value of dy/dx at x = 4 and y = 2.
You can get dy/dx by implicit differentiation.
Arre you sure your last term is (y^2 + y^2) ? Why wouldn't they write that as 2 y^2? The equation you wrote is not satisfied at (4,2) 
oops my bad.. 26(x^2y^2)
Respond to this Question
Similar Questions

math calculus
Use implicit differentiation to find the equation of the tangent line to the curve xy^3+2xy=9 at the point (31). The equation of this tangent line can be written in the form y=mx+b where m is 
calculus
find the equation of the tangent line to the curve y=5xcosx at the point (pi,5pi) the equation of this tangent line can be written in the form y=mx+b where m= and b= what is the answer to m and b? 
calculus
If f(x)=4x^(5/2), find f'(4) Use this to find the equation of the tangent line to the curve y=4x^(5/2) at the point (4,f(4)) . The equation of this tangent line can be written in the form y=mx+b where m is______ and where b is _____ 
Calculus
If f(x)=(3x)/(1+x^2) find f′(4). Use this to find the equation of the tangent line to the curve y=3x1+x2 at the point (4,0.70588). The equation of this tangent line can be written in the form y=mx+b where m is: and where b is: 
COLLEGE CALCULUS.
Use implicit differentiation to find the equation of the tangent line to the curve xy^3+xy=5 at the point (4,1) . The equation of this tangent line can be written in the form y = mx+b where m is:? 
Calculus 251
The slope of the tangent line to the curve y= 3x^3 at the point (1,3) is:? 
Calculus
the slope of the tangent line to the curve y=(3/x) at the point (6,0.5000) is? 
Calculus
Find the equation of the tangent line to the curve y=2sinx at the point ((pi/6), 1). The equation of the tangent line can be written in y=mx+b form, where m=sqrt3. What is b? 
Calculus AB
Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x1)e^x. For which value of x is the slope of the tangent line to f positive? 
Calculus AB
Could someone please help me with these tangent line problems?