Derivatives are usually taken with respect to time. The first derivative would have units of volume / time, i.e., a flow - for example - "so-and-so many cubic meters per second flow down our river".
The second derivate would refer to a change in the flow - when the flow of a liquid or gas increases or decreases with time.
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the second derivative at an inflectiion point is zero
When the first derivative of the function is equal to zero and the second derivative is positive.
You are supposed to use the chain rule for this. First step: derivative of root of sin2x is (1 / (2 root of sin 2x)) times the derivative of sin 2x. Second step: derivative of sin 2x is cos 2x times the derivative of 2x. Third step: derivative of 2x is 2. Finally, you need to multiply all the parts together.
(x3)'=3x2(x3)''=(3x2)'=6x
she thought she would get points of infliction!