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Derivatives are usually not taught in 5th grade. That is what your question is about: Rates of change.

Complete the following statements with the correct words
Note: Correct spelling is important.

If s(t) is a distance (or height or position) function, then s'(t) would be a_____ function.
If c(x) is a cost function, then c'(x) would be called the _____
If v(t) is a velocity function, then v'(t) would be a ______ function.

could u explain in 5th grade terms

s'(t) represents velocity or speed
c'(x) is called the marginal cost (for each additional item). It may have other names as well.
v'(t) is acceleration

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