Find the derivative of $\frac{2^{\left(3x+2\right)}+2^{\left(3x+4\right)}+2^{\left(3x+3\right)}}{3^{\left(a^b-2\right)}- 3^{\left(a^b-1\right)}+\left(3^a\right)^b}$
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Learn how to solve problems step by step online. Find the derivative of (2^(3x+2)+2^(3x+4)2^(3x+3))/(3^(a^b-2)-3^(a^b-1)3^a^b). Simplifying. 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 the product -(2^{\left(3x+2\right)}+2^{\left(3x+4\right)}+2^{\left(3x+3\right)}). Simplify the product -(2^{\left(3x+4\right)}+2^{\left(3x+3\right)}).
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