MathCalculus
posted by Sophee .
Let y = f(x) be the continuous function that satisfies the equation x^4  (5x^2)(y^2) + 4y^4 = 0 and whose graph contains the points (2,1) and (2,2). Let L be the line tangent to the graph of f at x = 2.
(a) Find and expression for y'.
(b) Write an equation for the line L.
(c) Give the coordinates of a point that is on the graph of f but is not on line L.
(d) Give the coordinates of a point that is on the line L but is not on the graph of f.

MathCalculus 
bobpursley
I will be happy to critique your thinking or work.

MathCalculus 
Sophee
I think a0 is (4x^3+10xy^2)/(10x^2y+16y^3)
and that makes b y=1/2x. However, I can't seem to get anything for c nor d. How do I start? 
MathCalculus 
keke_luvs_u
Hmm. Don't know...
Respond to this Question
Similar Questions

Calculus
55. Find an equation of the tangent line to the graph of f(x) =x^3  2x + 1 a) at (2,5); b) at (1,2); c) at (0,1). I believe the answers are: a) y= (3/2 x)  (3/2) b) No solution c) No solution For each function, find the points on … 
calculus
find the equation of a quadratic function whose graph is tangent at x=1 to the line whose slope8, tangent at x=2 to solve the line with slope4 and tangent to the line y=8 
cal
find the equation of a quadratic function whose graph is tangent at x=1 to the line whose slope8, tangent at x=2 to solve the line with slope4 and tangent to the line y=8 find the equation of the tangent lines at x=1 and x=2 graph … 
calculus
1. Let y = f(x) be the continuous function that satisfies the equation x^45x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (2, 2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ … 
calculus
1. Let y = f(x) be the continuous function that satisfies the equation x^45x^2y^2+4y^4=0 and whose graph contains the points (2, 1) and (2, 2). Let l be the line tangent to the graph of f at x = 2. a. Find an expression for y’ … 
Calculus
1. Given the function f defined by f(x) = x^3x^24X+4 a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = 1 c. The point (a, b) is on the graph of f and the line tangent to the graph at (a, b) … 
Calculus
Given the function y=(x^25/x+3), answer the following questions. a) Find dy/dx. Simplify your answer b) Find the coordinates of any points on the graph of y where the tangent line is horizontal. Show your work. c) Are there any points … 
Calculus
Graph the function f(x)=x+4/x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8] c= Notice that if … 
math
This is a continuous from my last question Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2) with x ≠ 2. On what intervals is the graph … 
Calculus
The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(11/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line. B. On what subintervals …