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Sagot :

Answer:

[tex]f^{\prime}(x)=x^2-\frac{1}{2}[/tex]

Explanation:

Here, we want to find the derivative of the given function

We will consider each of the parts as a single entity

The general differentiation rule is:

[tex]\begin{gathered} \text{if f(x) = ax}^b \\ f^{\prime}(x)\text{ = b}\cdot ax^{b-1} \end{gathered}[/tex]

We have the differentiation as follows:

[tex]\begin{gathered} f^{\prime}(x)\text{ = }\frac{3x^2}{3}\text{ - }\frac{1}{2} \\ \\ f^{\prime}(x)=x^2-\frac{1}{2} \end{gathered}[/tex]

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