Question

Find the derivative.

Answer 1

y prime =
`(2x)/(ln(x)) -(x)/((ln(x))^2)`

Explanation:

y = x^2 / ln(x)

Rewrite equation

y = x^2 * (ln(x))^-1

Use product and chain rule

y prime = 2x(lnx)^-1 + (x^2)(-1(lnx)^-2*(1/x)

Simplify

y prime =
`(2x)/(ln(x)) -(x)/((ln(x))^2)`