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Multiplying the fraction by $\cos\left(x\right)$
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$derivdef\left(\frac{\sin\left(x\right)}{\sin\left(x\right)}\right)$
Learn how to solve problems step by step online. Find the derivative of (sin(x)/cos(x)cos(x))/sin(x) using the definition. Multiplying the fraction by \cos\left(x\right). Simplify the fraction \frac{\sin\left(x\right)}{\sin\left(x\right)} by \sin\left(x\right). Find the derivative of 1 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 1. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 1 and -1.