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?
Question
Solution 1
To find out how fast the slope of the curve changes, we need to find the derivative of the given function, which represents the slope of the curve at any point x.
The given function is y = 5x – 2x³.
Step 1: Find the derivative of the function. The derivative of y = 5x – 2x³ is y' = 5 - 6x².
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