I have no idea how to do this math problem.
x = (4(t^3) + 1)/4
y = 3(t^5) +1
Find all points (a,b) on this curve such that the tangent line to the curve at (a, b) passes through the point (1/5, 1).
Help?!
First we need some info on the point putting this into the equation for x gives
Now putting this into the equation for y gives
So the ordered pair must lie on the graph.
Now we can use this generic point to find the slope passing through the point this gives
Now we also know the slope at this point must be
so...
Can you finish from here?