How do you differentiate f(x)=e^(x-(x-2)^2 using the chain rule.?
1 Answer
Jan 18, 2017
Explanation:
Expand:
f(x) = e^(x - (x^2 - 4x + 4))
f(x) = e^(x - x^2 + 4x - 4)
f(x) = e^(-x^2 + 5x - 4)
We now use the chain rule to differentiate. Let
f'(x) = u' * y'
f'(x) = e^u * 2x + 5
f'(x) = (5 - 2x)e^(-x^2 + 5x - 4)
Hopefully this helps!