Question

Last question! Thanks!

Given f(3)=4 and f'(3)=5 find g'(3)
where g(x)= 5x/f(x)

Answer 1

same as last time, only use the quotient rule:

g = 5x/f, so
g' = (5f-5x*f')/f^2
g'(3) = (5*4-15*3)/4^2 = -25/16