Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the quotient rule
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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Simplifying
Learn how to solve differential calculus problems step by step online.
$\frac{d}{da}\left(\frac{2^{\left(3x+2\right)}+2^{\left(3x+4\right)}+2^{\left(3x+3\right)}}{3^{\left(a^b-2\right)}- 3^{\left(a^b-1\right)}+3^{ab}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule (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)}).