Homework Help

Q :Y=(4x -1)/log 2 (3) y'=?

yapayapa's profile pic

Posted via web

dislike 2 like

Q :Y=(4x -1)/log 2 (3)

y'=?

1 Answer | Add Yours

sciencesolve's profile pic

Posted (Answer #1)

dislike 1 like

You need to evaluate the derivative of the given function `y = (4x - 1)/(log_2 3)` , hence, you need to differentiate the function with respect to x, such that:

`(dy)/(dx) = (d((4x - 1)/(log_2 3)))/(dx)`

`(dy)/(dx) = 1/(log_2 3)*(d(4x - 1))/(dx)`

`(dy)/(dx) = 1/(log_2 3)*((d(4x))/(dx) - (d(1))/(dx))`

Since differentiating a constant gives 0, yields:

`(dy)/(dx) = 1/(log_2 3)*4`

`(dy)/(dx) = 4/(log_2 3)`

Hence, evaluating the derivative of the given function yields `(dy)/(dx) = 4/(log_2 3).`

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes