Math  /  Calculus

QuestionFind the derivative f(x)f^{\prime}(x) of the function f(x)=2+7x+7x2f(x)=2+\frac{7}{x}+\frac{7}{x^{2}}.

Studdy Solution
Finally, rewrite the derivative in a more standard form by converting the negative exponents to fractions.
f(x)=7x214x3f^{\prime}(x) = -\frac{7}{x^{2}} - \frac{14}{x^{3}}So, the derivative of the function f(x)=2+7x+7x2f(x)=2+\frac{7}{x}+\frac{7}{x^{2}} is f(x)=7x214x3f^{\prime}(x) = -\frac{7}{x^{2}} - \frac{14}{x^{3}}.

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