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anonymous

  • 4 years ago

Calculus: How would I justify the relation of f(x), f'(x), and f"(x)? I'm having trouble explaining it.

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  1. campbell_st
    • 4 years ago
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    well given a function f(x) f'(x) is the instantaneous rate of change in the function at any point on the function. f''(x) is the instantaneous rate of change is f'(x) at any point on f(x)

  2. anonymous
    • 4 years ago
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    I don't quite understand what you mean? what I'm getting from what you are saying is that both f'(x) and f"(x) is the instantaneous rate of change? that can't be possible can it?

  3. campbell_st
    • 4 years ago
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    well if you have a function that shows distance travelled on time... the f(x) then f'(x) is the instantaneous rate of change in distance over time...(or velocity) The rate of change in velocity over time is acceleration or f''(x)

  4. dumbcow
    • 4 years ago
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    f''(x) is the rate of the rate of change. its like if you graphed f'(x), then the slope at any point would be f''(x)

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