# How do you differentiate #(t^2+2)/(6t-3)^7#?

##### 1 Answer

Jun 2, 2015

We must use the quotient rule, which states that

Be

Now, before starting, we can acknowledge all our four needed functions:

#f(t)=t^2+2# -
#f'(t)=2t# -
#g(t)=(6t-3)^7# #g'(t)# demands chain rule, which states that#(dy)/(dx)=(dy)/(du)(du)/(dx)# , so#g'(t)=(7u^6)*6=color(green)(42(6t-3)^6)#

Thus,

Considering