When you implicitly differentiate with respect to , what do you get for ?
Equation of graph : 2x^{5 }+ 2y^{2}= 5xy
The vertical tangent line and the horizontal tangent line to the curve intersect at the point A(a,b). Find the coordinates of A.
The graph is shown on my paper. Maybe you guys can use an online graphing app to see how it looks like or use scientific calculator.
Anyway, please help!
Yes, good work! I would write this as:
Now, equating the numerator to zero will tell us where the curve has a horizontal tangent, white equating the denominator to zero will tell us where the vertical tangent occurs. What do you find?