Hi Everyone,

This question is about the quotient rule, I'm stuck for how to develop it!

Here is the question and my answer:

Write down the derivative of each of the functions

*f*(t)= t^4 +5 and *g*(t) = ln(3t) (t>0).

Derivative:

*f *‘(t) = 4t3+5

*g* ‘(t) = 1/3t

Hence, by using the Quotient Rule, differentiate the function

*k*(t)= __t__4__+5__ (t > 1/3).

ln(3t)

Quotient rule:

*k* ‘(t) = __g____(x) __*f* ‘(x) – *f*(x) *g* ‘(x)

(*g*(x))2

*k* ’(t) = __(In(3t)) (4t3) – (t4+5) (1/3t)__

(In(3t))2e

I don't think I'm doing it right. How to differentiate the function with the quotient rule? that is as far I did it

Can someone help me