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Find the rate of change of the distance between the origin and a moving point on the graph

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Find the rate of change of the distance between the origin and a moving point on the graph of y = x^2 + 1 if dx/dt = 2 centimeters per second.
asked Jan 22, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function is image.

Consider moving point is image.

Consider image is the distance between the origin image and the point image.

The distance between two points is image.

Then image

         image

image.

Substitute image in above expression.

image

Step 2:

image.

Apply derivative on each side with respect to image.

image

image

image

image

image

Rewrite the expression.

image

Substitute image in above expression.

image

image.

Solution :

The rate of change of distance is image.

answered Jan 22, 2015 by joseph Apprentice

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