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).
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