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Math Help - Derivatives

  1. #1
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    Derivatives

    given e^x(f(x)) + [In(x)(f(x))]^3 + f(x) = 1 and f(a) = 2 find f'(a)

    Where I typed f(a) there is a weird circular symbol in the question where (a) is that I don't know what it means so I assume it's just to represent something other than f(x).
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by steezin View Post
    given e^x(f(x)) + [In(x)(f(x))]^3 + f(x) = 1 and f(a) = 2 find f'(a)

    Where I typed f(a) there is a weird circular symbol in the question where (a) is that I don't know what it means so I assume it's just to represent something other than f(x).
    Use implicit differentiation on:


     <br />
e^x f(x) + [\ln(x)f(x)]^3 + f(x) = 1<br />

    Then rearrange into the form:

     <br />
f'(x)=...<br />

    Then use the conditions to evaluate f'(a) (though without knowing what a represents is a problem)

    CB
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