Subjects calculus

Second Derivative A10F1D

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1. The problem asks whether the statement "The second derivative of a function is the derivative of its first derivative" is true or false. 2. Recall the definition of derivatives: The first derivative of a function $f(x)$, denoted $f'(x)$, represents the rate of change or slope of $f(x)$. 3. The second derivative, denoted $f''(x)$, is defined as the derivative of the first derivative $f'(x)$. 4. Mathematically, this is expressed as: $$f''(x) = \frac{d}{dx} \left(f'(x)\right)$$ 5. This means the second derivative measures the rate of change of the rate of change of the original function. 6. Therefore, the statement is true. Final answer: True