How do you differentiate #(1 / (4-3t)) + ( (3t )/ ((4-3t)^2))#?
Rewrite the expression first.
We can use the quotient rule at this point.
The derivative is:
# = 24/(4-3t)^3#
If (when) you've learned the chain rule, you may agree that it is easier to continue rewriting to get:
The derivative is may be found by using the power rule and the chain rule.