calculus
posted by akash .
Find the slope of the graph of the function at the given point. (If an answer is undefined, enter UNDEFINED.)
x^3 + y^3 = 14xy, (7, 7)

find dy/dx at (7.7)
3x^2 dx+3y^2 dy=14(ydx+xdy)
dy/dx(3y^214x)=14y3x^2
check that, I did the algebra in my head.
dy/dx= 108147 / 14798
check that, it was in my head also.
Respond to this Question
Similar Questions

pre calculus
Question 1: Explain why the equation of the line y=5 has a slope that is undefined. Explain in words or mathematically. Question 2: Given any circle, the coordinates of one endpoint of a diameter is (3,2). If the coordinates of the … 
Calculus (pleas help!)
Find the slope of the tangent line to the ellipse x^2/36 + y^2/49 =1 at the point (x,y). slope =_______ Are there any points where the slope is not defined? 
calculus
For the given equation, find the slope of the tangent to the curve at the point (4,2). y^2+8y+x^2+8x4=0 A. 1.50 B. 0.50 C. 2.00 D. 0.00 E. UNDEFINED 
math
Find the slope of the line that passes through the pair of points. (If the slope of the line is undefined, enter UNDEFINED.) (f + 6, m  6) and (f + 6, m) 
NSU
Evaluate (if possible) the function at the given values of the independent variable. Simplify the results. (If an answer is undefined, enter UNDEFINED.) f(x)=sin x f(pi)= f(5pi/4) f(fpi/30 
college Algebra
Use a calculator to find y to four decimal places, if possible. (If an answer is undefined, enter UNDEFINED.) ln y = −0.35 
college algebra
Use a calculator to find y to four decimal places, if possible. (If an answer is undefined, enter UNDEFINED.) ln y = −0.35 
college algebra
Use a calculator to find y to four decimal places, if possible. (If an answer is undefined, enter UNDEFINED.) ln y = log 9 
math
Find the slope of the line. (If an answer is undefined, enter UNDEFINED.) −5x + 4y = 10 
slope
Find the slope of the line passing through the given points using the slope formula. Enter the slope in simplest form. Describe the slope as positive, negative, zero, or undefined. (8,2) and (15,9) my answer = 1 the slope is posistive