Derivatives

Apr 2010
25
0
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).
 

CaptainBlack

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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:


\(\displaystyle
e^x f(x) + [\ln(x)f(x)]^3 + f(x) = 1
\)

Then rearrange into the form:

\(\displaystyle
f'(x)=...
\)

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

CB