For the given curve: y = 5x – 2x 3 , when x increases at the rate of 2 units/sec, then how fast is the slope of curve changes when x = 3?

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Harshit Singh · Answer

Dear student Given that, y = 5x &ndash; 2x^3 Then, the slope of the curve, dy/dx = 5-6x^2 &rArr;d/dt [dy/dx]= -12x. dx/dt = -12(3)(2) = -72 units per second Hence, the slope of the curve is decreasing at the rate of 72 units per second when x is increasing at the rate of 2 units per second. Thanks

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For the given curve: y = 5x – 2x 3 , when x increases at the rate of 2 units/sec, then how fast is the slope of curve changes when x = 3?

For the given curve: y = 5x – 2x3, when x increases at the rate of 2 units/sec, then how fast is the slope of curve changes when x = 3?

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