Home › AP EAPCET (Engineering) › Mathematics › Application of Derivatives › What is the absolute maximum of f(x) = 2x - x^2 …
What is the absolute maximum of f(x) = 2x - x^2 on [0, 3]?
A1
B0
C-3
D2
Answer & Solution
Correct answer: A. 1
f'(x) = 0 at x = 1 gives 1; the endpoints give 0 and -3, so the maximum is 1.
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