Find the derivative of $\frac{\left(1-\cos\left(x\right)\right)\left(1+\frac{1}{\cos\left(x\right)}\right)}{\frac{\sin\left(x\right)}{\cos\left(x\right)}}$
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Learn how to solve problems step by step online. Find the derivative of ((1-cos(x))(1+1/cos(x)))/(sin(x)/cos(x)). 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 -(1+\cos\left(x\right)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=.
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