find specific points of a tangent line on a curve.

Q: Find the coordinates of all points on the graph of at which the tangent line passes through the point

__My solution so far:__

What I understood is that there is a point on outside the parabola/ curve and another point is on the curve which is unknown and need to figure out and they are connected through a tangent line.

Now first let me figure out the derivative/slope of the tangent line over that curve.

{ is y always equals f(x)? maybe this is only when y is function of x right?}

So now we know the slope of the tangent line

we know 2 co-ordinates of one end and need to figure out the other end .

and we can use the slope formula here

[as from the original equation]

No easy way to factor this so I used the formula

So that makes it

so basically we got 2 xs

and

where did I do wrong..

why the answer says not sure if that is x or y.. looks close to x...

Re: find specific points of a tangent line on a curve.

Quote:

Originally Posted by

**ameerulislam** Q: Find the coordinates of all points on the graph of

at which the tangent line passes through the point

__My solution so far:__
What I understood is that there is a point on outside the parabola/ curve

and another point is on the curve which is unknown and need to figure out

and they are connected through a tangent line.

Now first let me figure out the derivative/slope of the tangent line over that curve.

{ is y always equals f(x)? maybe this is only when y is function of x right?}

So now we know the slope of the tangent line

we know 2 co-ordinates of one end

and need to figure out the other end

.

and we can use the slope formula here

**CORRECT**

**BUT**

Re: find specific points of a tangent line on a curve.

yeah yeah i figured that our immediately and edited., but why the bok is saying 2 is missing. so they are wrong and I didn't make any other mistakes?

Re: find specific points of a tangent line on a curve.

ok I think I found it..

that basic mistake was done up there as well.