Find the Derivative - d/d@VAR f(x)=-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.

d()/d(x)*(−8*x(−1))

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

−8⋅(−1)*x(−1−1)

3. Simplify the coefficients and the exponent.

8*x(−2)

4. Rewrite the result using a positive exponent by moving the variable to the denominator.

8/(x2)

Final Answer

d()/d(x)*(−8/x)=8/(x2)

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