I have done my mechanical engineering and then Marine Engineering. After a brief sea service I am currently focusing in teaching Mathematics to the students of Std. 11 an 12th in India. I also mentor the candidates in Mathematics who are preparing for IIT JEE examinations. I have my own coaching institute here in India and have 8 years of extensive experience in teaching Mathematics and Science.
I am also working with Chegg.com as a subject matter expert of Basic Maths ( Precalculus, Prealgebra, Geometry, Trigonometry and Algebra).
(a) Write the area A of an equilateral triangle as a function of the side length s.
(b) Find the (instantaneous) rate of change of the area A with respect to a side s.
(c) Evaluate the rate of change of A at s " 2 and s " 10.
(d) If $s$ is measured in inches and $A$ is measured in square inches, what units would be appropriate for $d A / d s ?$