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Math Help - instantaneous rate of change

  1. #1
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    instantaneous rate of change

    Let
    f(x)=5 x2+2 x−3 and let x0= 1.

    The instantaneous rate of change of f at x= 1 equals ?
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  2. #2
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    Quote Originally Posted by samtheman17 View Post
    Let
    f(x)=5 x2+2 x−3 and let x0= 1.

    The instantaneous rate of change of f at x= 1 equals ?
    = the calculus section since differentiation is involved.

    f(x) = 5x^2 + 2x -3 =0

    We want to find f'(1)
    <br />
f'(x) = 10x + 2

    f'(1) = 10+2 = 12
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  3. #3
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    instantaneous rate of change is derivative

    f'(x)=10x+2 now plug in x=1
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  4. #4
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    Since this has been posted in the Pre-Calculus section, I doubt that the OP knows what a derivative is, or how to calculate it.


    I would say at a Pre-Calculus level, it is enough to evaluate the difference quotient with a small change in x, say 0.01.


    \frac{f(1.01) - f(1)}{1.01 - 1} = ?
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