Afetr you take the first derivative you take it again
Example
y = x^2
dy/dx = 2x ( first derivative)
d2y/dx2 = 2 ( second derivative)
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The highest order of derivative is 2. There will be a second derivative {f''(x) or d2y/dx} in the equation.
-1
The derivative of sin(x) is cos(x).
Find the derivative
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.