Home › AP EAPCET (Engineering) › Mathematics › Application of Derivatives › A point moves on y = x^2 with x increasing at 3 …
A point moves on y = x^2 with x increasing at 3 units/s. How fast does y change at x = 2?
A6 units/s
B3 units/s
C24 units/s
D12 units/s
Answer & Solution
Correct answer: D. 12 units/s
dy/dt = 2x dx/dt = 2 times 2 times 3 = 12.
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?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 A cube's edge grows at 3 cm/s. How fast does its volume grow when the edge is 2 cm?