The tangent to the curve y=x^2 + 4x - 5 at (1,0) is T and N is the normal to the curve y = x^2 - x + 2 at (1,2)

- Mar 22nd 2009, 05:32 AMJaguisFind the co-ordinates of the point of intersaction of T and N?
The tangent to the curve y=x^2 + 4x - 5 at (1,0) is T and N is the normal to the curve y = x^2 - x + 2 at (1,2)

- Mar 22nd 2009, 05:49 AMSoroban
Hello, Jaguis!

It's quite straight-forward . . . Exactly**where**is your difficulty?

Quote:

The tangent to the curve at (1,0) is

and is the normal to the curve at (1,2)

Find the intersection of and .

The slope of the tangent to is: .

At (1,0), the slope is: .

The equation of the tangent is: . .[1]

The slope of the tangent to is: .

At (1,2), the slope is: .

Hence, the slope of the normal is: .

The equation of the normal is: . .[2]

Now find the intersection of [1] and [2] . . .

- Mar 22nd 2009, 05:56 AMJaguisthanks
ok thanks. well calculus is not my main area of study in university but i have a study unit on elementary calculus and differentiation is just a little bit confusing.... at least for now.