Question

Differentiatey = -8 In x

Answer 1

Given:

`y=-8lnx`

Let's differentiate the equation.

To differentiate since -8 is constant with resppect to x, the derivative will be:

`\begin{gathered} (d)/(dx)(-8lnx) \\ \\ =-8(d)/(dx)(ln(x)) \end{gathered}`

Where:

derivative of ln(x) with respect to x = 1/x

Thus, we have:

`\begin{gathered} -8(1)/(x) \\ \\ =-(8)/(x) \end{gathered}`

ANSWER:

`-(8)/(x)`