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

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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
asked Feb 14, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The curve equation is image.

Let the coordinates of image be image.

Substitute image in image.

image.

imageimage.

Step 2:

image

Differentiating with respect to image.

image

image

image.

 image is slope of the tangent line.

image ----> equation (1)

The line passes through image.

Slope between image and image.

image

image------> (2)

Step 3:

From the equations (1) and (2).

image

image

image

image and image.

image and image.

When image then image.

image

When image then image

image

Solution:

Coordinates of image are image and image.

answered Feb 19, 2015 by david Expert
edited Feb 19, 2015 by david

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