Problem

(1) What is the derivative of the function $f(x)=\frac{1}{x^{6}}$
(A) $\frac{6}{x^{7}}$
(B) $6 x^{5}$
(c) $\frac{-6}{x^{5}}$
(D) $\frac{-6}{x^{7}}$

Answer

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Hide Steps

Answer

\( \boxed{\frac{-6}{x^{7}}} \)

Steps

Step 1 ：Rewrite the function as $f(x)=x^{-6}$

Step 2 ：Apply the power rule for differentiation: $f'(x)=-6x^{-7}$

Step 3 ：\( \boxed{\frac{-6}{x^{7}}} \)

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