The question is:
The height h of an equilateral triangle is increasing at a rate of 3cm/min. How fast is the area changing when h is 5 cm? Give the answer to 2 decimal places.
How can I figure this question out?
Thank You!
The question is:
The height h of an equilateral triangle is increasing at a rate of 3cm/min. How fast is the area changing when h is 5 cm? Give the answer to 2 decimal places.
How can I figure this question out?
Thank You!
1. The area of a triangle is calculated by
2. In an equilateral triangle the sides are equal and the height is calculated by:
3. Plug in this term instaed of s into the equation of the area:
4. Calculate the first derivation of a to get the speed of change:
Now calculate a'(5):