Applications of Derivatives worksheets
Applications of Derivatives worksheets give students in Calculus I focused practice in applications of derivatives. This page has 1 free printable sets, grouped by grade, and every set includes a computed answer key that is never wrong. Print them or save as a PDF, no login needed.
What's inside
- An open-top box with a square base must hold exactly 108 cm³. Find the base side length and the height that minimize the amount of material (the surface area: base plus four sides), and state that minimum surface area.
- A farmer has 152 m of fencing for a rectangular paddock along a straight river. The river side needs no fence. Find the dimensions that maximize the enclosed area, and state that maximum area.
- Two positive numbers add to 46. Find the two numbers whose product is as large as possible, and state that maximum product.
- A closed cylindrical can must hold exactly 16π cm³. Find the radius and height that minimize the total surface area (top, bottom and side).
- Two positive numbers have product 144. Find the two numbers whose sum is as small as possible, and state that minimum sum.
- An open-top box with a square base must hold exactly 500 cm³. Find the base side length and the height that minimize the amount of material (the surface area: base plus four sides), and state that minimum surface area.
Sample questions. Each set (A, B, C…) has fresh numbers and a computed answer key.
Calculus I Applications of Derivatives
Frequently asked questions
Are these applications of derivatives worksheets free?
Yes. Every worksheet on ChalkBee is free to view and print or save as a PDF, with no login required, and the answer key is free too. Pro removes the watermark and adds differentiated sets, worksheet packs and unlimited custom generation.
Do the worksheets have answer keys?
Yes, free, on every sheet. The answers are computed in code from the exact questions on the page, and the key prints on a page of its own so the student sheet stays clean.
What grades do applications of derivatives worksheets cover?
Applications of Derivatives worksheets on this page cover Calculus I. There are 1 printable sets in total, grouped by grade so you can pick the right level.
How do I print or download them?
Open any set, then use your browser's print option to print it or to save it as a PDF. The pages are laid out to print cleanly on standard letter or A4 paper.