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Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{\sin\left(3x\right)+2e^{2x}}{2\cos\left(3x\right)}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx((2sin(3x)+4e^(2x))/(4cos(3x))). 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}}. The power of a product is equal to the product of it's factors raised to the same power. Simplify the product -(\sin\left(3x\right)+2e^{2x}).