Practice free →
Home › CBSE Class 12 (Commerce) › Mathematics › Application of Derivatives › A rectangle has length x falling 2 cm/min and wi…

A rectangle has length x falling 2 cm/min and width y rising 3 cm/min. Find the area's rate at x = 8, y = 5.

A−10 cm²/min
B6 cm²/min
C24 cm²/min
D14 cm²/min
Answer & Solution
Correct answer: D. 14 cm²/min
dA/dt = y(dx/dt) + x(dy/dt) = 5(−2) + 8(3) = 14 cm²/min.
Solve this in the app — CBSE Class 12 (Commerce) practice & 24k+ MCQs →
Related questions