Learn how to solve problems step by step online. Find the derivative d/dn(1/(3^(n+1))). Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Simplify \left(3^{\left(n+1\right)}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n+1 and n equals 2. The derivative of the constant function (1) is equal to zero. x+0=x, where x is any expression.

Find the derivative d/dn(1/(3^(n+1)))