parametrically defined curve

I have a parametrically defined curve

and

I need to find the equation for the tangent line to the curve at the point defined by t = 1

Now, i think i need to find

the dirivitive of x = ?

Would the dirivitive of y = ?

then, i evaluate t= 1?

then, take the dirivitive of dy again?

then use point slope form?

Re: parametrically defined curve

Quote:

Originally Posted by

**icelated** I have a parametrically defined curve

and

I need to find the equation for the tangent line to the curve at the point defined by t = 1

Now, i think i need to find

the dirivitive of x =

?

Would the dirivitive of y =

?

then, i evaluate t= 1?

then, take the dirivitive of dy again?

then use point slope form?

All your calculations are OK.

Plug in the terms you already have determined.

Then use the point-slope-form of the equation of a straight line at t = 1

Re: parametrically defined curve

Equation of the tangent line is :