- #1
rainyrabbit
- 10
- 0
Finding derivative question please...
How should I find the derivative of y = x^(e^x)?
I tried using the chain rule along with the power rule, coming out to:
(e^x) (e^x) (X^(e^x - 1))
If I had took the natural log of both sides and then used implicit differentiation, I would have gotten as a derivative:
(x^(e^x)) (e^x) (1/x + ln x)
which is the correct answer according to my TI89.
Why wouldn't the first method work? Or was there any flaw?
By the way I just started Calculus as a high schooler.
How should I find the derivative of y = x^(e^x)?
I tried using the chain rule along with the power rule, coming out to:
(e^x) (e^x) (X^(e^x - 1))
If I had took the natural log of both sides and then used implicit differentiation, I would have gotten as a derivative:
(x^(e^x)) (e^x) (1/x + ln x)
which is the correct answer according to my TI89.
Why wouldn't the first method work? Or was there any flaw?
By the way I just started Calculus as a high schooler.