Question

FIne the coordinates of the point P at which the tangent line passes through (5,0)?

graph of f(x) = 9 - x^2

Can someone show me how to do this?
I can't get the graph on here

Answer 1

Step 1:

The curve equation is .

Let the coordinates of be .

Substitute in .

.

.

Step 2:

Differentiating with respect to .

.

  is slope of the tangent line.

----> equation (1)

The line passes through .

Slope between and .

------> (2)

Step 3:

From the equations (1) and (2).

and .

and .

When then .

When then

Solution:

Coordinates of are and .