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CUET
-- Mathematics - Section B1
Applications of Derivatives
For the curve \(y=6x-5x^3\) if \(x\) increases at the rate of 2 unit/sec then how fast slope of curve changing when \(x=3\)
-120 unit/sec
-180 unit/sec
-100 unit/sec
-200 unit/sec
\(\frac{d}{dt}(\frac{dy}{dx})=-30x\frac{dx}{dt}\)