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If y=7x-x^3 and x increases at the rate ...

If `y=7x-x^3` and `x` increases at the rate of `4` units per second, how fast is the slope of the curve changing when `x=2` ?

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To find how fast the slope of the curve is changing when \( x = 2 \) for the function \( y = 7x - x^3 \), we can follow these steps: ### Step 1: Differentiate the function with respect to \( x \) Given: \[ y = 7x - x^3 \] ...
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