Find the Derivative - d/dx 8/x

Problem

d()/d(x)8/x

Solution

1. Rewrite the expression using a negative exponent to make it easier to apply the power rule.

8/x=8*x(−1)

2. Apply the power rule for differentiation, which states that d(xn)/d(x)=n*x(n−1)

(d(8)*x(−1))/d(x)=8⋅(−1)*x(−1−1)

3. Simplify the exponent and the coefficient.

−8*x(−2)

4. Rewrite the expression with a positive exponent by moving the variable back to the denominator.

−8/(x2)

Final Answer

d()/d(x)8/x=−8/(x2)

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