Let f(x) = ln(1-x)/e^x. Find the third derivative at x = 0?
- 1/2
- Undefined
- 4
- None of these
Explanation
To find the third derivative of f(x) = ln(1-x)/e^x, we'll first find the first, second, and third derivatives.
Using the quotient rule and chain rule, we can find the derivatives. After calculating, we get:
f'''(0) = 1/2
So, the third derivative at x = 0 is 1/2.
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