Find the equation of the line tangent to the curve at the point defined by the given value x.
I have no idea how to do this beyond the fact the it needs the chain rule and at some time (probably the end) I have to plug in t as -1/4
Find the equation of the line tangent to the curve at the point defined by the given value x.
I have no idea how to do this beyond the fact the it needs the chain rule and at some time (probably the end) I have to plug in t as -1/4
Hello,
substitute t by to get the coordinates of the tangent point:
The slope of the tangent can be calculated by:
. With your problem you get:
. Plug in and you have
Now us point-slope-formula to calculate the equation of the tangent. I've got:
I've attached a sketch of the graph and the tangent.