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# Find the derivative of $\cos\left(x\right)-\cos\left(x\right)$ using the definition

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##  Step-by-step Solution 

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Cancel like terms $\cos\left(x\right)$ and $-\cos\left(x\right)$

$derivdef\left(0\right)$

Learn how to solve definition of derivative problems step by step online.

$derivdef\left(0\right)$

Learn how to solve definition of derivative problems step by step online. Find the derivative of cos(x)-cos(x) using the definition. Cancel like terms \cos\left(x\right) and -\cos\left(x\right). Find the derivative of 0 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 0. Substituting f(x+h) and f(x) on the limit, we get. Add the values 0 and 0. Zero divided by anything is equal to zero.

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### Main Topic: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.