How do you find the equation of the tangent to the curve #x=t^4+1#, #y=t^3+t# at the point where #t=-1# ?
1 Answer
To find the equation of the tangent line, we need the slope
Then the equation is the usual
We have the parametric curve
so we compute
The chain rule
So we use the derivatives of the parametric equations:
Also at
Now we put in the info for the tangent line:
\ Another great answer from the modest dansmath! /