- #1
Nana-chan
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Homework Statement
What is the derivative of y=x^(13/x^2) with respect to x?
The Attempt at a Solution
I went through multiple techniques to solve this, but all of them have failed so far ._.
In my latest attempt, I took the natural log of both sides:
lny= lnx^(13/x^2)
I then brought the exponent out of the natural log:
lny = 13/x^2*lnx = 13/x^2 * 1/x = 13/x^3
And solved for both natural logs:
1/y*dy/dx = 13/x^3
dy/dx = x^(13/x^2)*(13/x^3)
Lon-capa says this is wrong. It also says that the other method I used is wrong:
d/dx = a^x*ln(a)
x^(13/x^2)*ln(x)*(-26/x^3)
Please help me~