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Math Help - Rate of change

  1. #1
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    Rate of change

    for the function f(x)=x^3 the rate of change at x=c is e^3 times the rate of change at x=2, what does c=?
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by 333arizona View Post
    for the function f(x)=3x^2 the rate of change at x=c is e^3 times the rate of change at x=2, what does c=?
    f'(x)=6x

    so we know that f'(c)=f'(2)\cdot{e^3}

    inputting our values we get

    6c=e^{3}\cdot{12}\Rightarrow{c=2e^{3}}
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