Home › TS EAPCET (Engineering) › Mathematics › Application of Derivatives › Two positive numbers add up to 20. What is the g…
Two positive numbers add up to 20. What is the greatest possible product?
A96
B100
C80
D110
Answer & Solution
Correct answer: B. 100
The product x(20 - x) peaks where 20 - 2x = 0, at x = 10, giving 100.
Related questions
If y = x^2 and x changes from 3 to 3.01, what is the approximate change dy?Using the tangent line at x = 25, what is the linear approximation of sqrt(26)?The derivative of displacement with respect to time gives which quantity?A point moves on y = x^2 with x increasing at 3 units/s. How fast does y change at x = 2?In a related rates problem, once the equation is built, one differentiates with respect toA circle's radius changes at 0.5 cm/s. How fast does its circumference change?A balloon's volume grows at 100 cu cm/s. How fast does its radius grow at r = 5 cm?A 10 m ladder's foot slides out at 3 m/s. How fast does its top fall when the foot is 6 m