# Math Help - Derivatives

1. ## 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).

2. Originally Posted by steezin
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:

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

Then rearrange into the form:

$
f'(x)=...
$

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

CB