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For a Certain Type of Fish, the Weight Y,in Grams,is Related to the Length in Cm , by Y=f(x)=0.007x^3 (a) Find F'(x) Xf'(x)= Square

Problemas

For a certain type of fish, the weight y,in grams,is related to the length in cm , by y=f(x)=0.007x^3 (a) Find f'(x) Xf'(x)= square

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Respuesta

To find the derivative of the function \( f(x) = 0.007x^3 \), we will use the power rule for differentiation. The power rule states that if \( f(x) = ax^n \), then \( f'(x) = anx^{n-1} \).Given: We apply the power rule: So, the derivative \( f'(x) \) is: Therefore,