Question:

If http://gauss.vaniercollege.qc.ca/web...faee426371.png is the focal length of a convex lens and an object is placed at a distance http://gauss.vaniercollege.qc.ca/web...da050b4dd1.png from the lens, then its image will be at a distance http://gauss.vaniercollege.qc.ca/web...12a8ea5921.png from the lens, where http://gauss.vaniercollege.qc.ca/web...faee426371.png, http://gauss.vaniercollege.qc.ca/web...da050b4dd1.png, and http://gauss.vaniercollege.qc.ca/web...12a8ea5921.png are related by the lens equation What is the rate of change of http://gauss.vaniercollege.qc.ca/web...da050b4dd1.png with respect to http://gauss.vaniercollege.qc.ca/web...12a8ea5921.png if http://gauss.vaniercollege.qc.ca/web...b139a78e91.png and http://gauss.vaniercollege.qc.ca/web...8c532d6091.png?

(My work is attached)

Any help would be greatly appreciated!

Thanks in advance!