Hey guys can you help me out with this:
Given the ellipse 4x^2 + 9y^2 = 36,
a) Find .
is this correct:
b) Give the equations of all tangent lines to the graph at x = 1.
at this point I plug in 1 in the original function to get y right?
I got this weird number for y when I did that:
are my calculations correct?
First of all, you need to work out each point separately...
No, don't plug each point into the original function. Plug each point into the derivative function to find the gradient of each tangent line.
Once you have the gradient, then you have x, y, m for the y = mx + c equation, solve for c. Then you have the equation of the tangent line.