She was afraid it would be constant. (Constance)
She was afraid it would be a related function.
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Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)
A fourth degree polynomial.
The highest order of derivative is 2. There will be a second derivative {f''(x) or d2y/dx} in the equation.
If the first derivative of a function is greater than 0 on an interval, then the function is increasing on that interval. If the first derivative of a function is less than 0 on an interval, then the function is decreasing on that interval. If the second derivative of a function is greater than 0 on an interval, then the function is concave up on that interval. If the second derivative of a function is less than 0 on an interval, then the function is concave down on that interval.