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For each of the following functions, eva...

For each of the following functions, evaluate the derivative at the indicated value (s) :
`f(x)=x,x=1`

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The correct Answer is:
To evaluate the derivative of the function \( f(x) = x \) at the point \( x = 1 \), we follow these steps: ### Step 1: Identify the function We have the function: \[ f(x) = x \] ### Step 2: Differentiate the function To find the derivative of \( f(x) \) with respect to \( x \), we apply the basic differentiation rule. The derivative of \( x \) is: \[ f'(x) = \frac{d}{dx}(x) = 1 \] ### Step 3: Evaluate the derivative at \( x = 1 \) Now, we need to evaluate the derivative at the point \( x = 1 \): \[ f'(1) = 1 \] ### Final Answer Thus, the derivative of the function \( f(x) = x \) at \( x = 1 \) is: \[ \boxed{1} \] ---
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