Let f(x) = ln(1-x)/e^x. Find the third derivative at x = 0?
Let f(x) = ln(1-x)/e^x. Find the third derivative at x = 0?
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.