Question

Find g′(−9) from g(x)=−2x 83x−9 using the definition of a derivative.

Answer 1

Explanation:

first do the derivative of the given function using the formula below since it is in division:
let's call the top function of u and the denominator function v

u = -2x+8 , u' (derivative of u ) = -2

v= 3x-9 , v' (derivative of v) =3

`((-2)(3x-9)-(-2x+8)(3))/((3x-9)^(2) )` = and insert -9 instead of x as given
you get g'(-9) = -1/216