Question

find the derivative of y with respect to x, t or theta as appropriate.
y= ln(x)/x^6

Answer 1

\[y=(x^{-6})*\ln x\]
Use the product rule (derivative with respect to x)
\[y'=(x^{-6})*(\frac{1}{x})+(\ln x)*(-6x^{-7})\]

Answer 2

the answer is 1-7 ln(x)/ x^7
how can u get that?

Answer 3

Simplify from what I typed and you should get the exact same answer. Remember that \[x^{-a} = \frac{1}{x^a}\]

Answer 4

thank you