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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
Learn how to solve quotient rule of differentiation problems step by step online.
$\frac{2\frac{d}{dx}\left(3\left(1-\sin\left(x\right)\right)\right)\cos\left(x\right)-3\frac{d}{dx}\left(2\cos\left(x\right)\right)\left(1-\sin\left(x\right)\right)}{\left(2\cos\left(x\right)\right)^2}$
Learn how to solve quotient rule of differentiation problems step by step online. Find the derivative d/dx((3(1-sin(x)))/(2cos(x))). 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. The derivative of a function multiplied by a constant (3) is equal to the constant times the derivative of the function. The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function.