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Something like ab\frac{a}{b}, split by āˆ’-, we call aa Molecular, bb Denominator.

f(x)=x2⇓TakeĀ derivativeĀ ofĀ theĀ previousĀ formulaf′(x)=2x(x2)′=2x⇓TakeĀ derivativeĀ ofĀ theĀ previousĀ formulaf′′(x)=2(2x)′=2\begin{align*} f(x) &= x^2 \\ \\ &\Downarrow \text{Take derivative of the previous formula} \\ \\ f^\prime(x) &= 2x &(x^2)^\prime &= 2x \\ \\ &\Downarrow \text{Take derivative of the previous formula} \\ \\ f^{\prime \prime}(x) &= 2 &(2x)^\prime &= 2 \end{align*}

We say f′(x)f^\prime(x) is the first derivative of f(x)f(x), f′′(x)f^{\prime \prime}(x) is the second derivative of f(x)f(x). You can keep doing this by changing the number before derivative, for example, 3 derivative of ...

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