Find the Derivative - d/dx 6/x

Problem

d()/d(x)6/x

Solution

1. Rewrite the expression using a negative exponent to make it easier to differentiate.

6/x=6*x(−1)

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

(d(6)*x(−1))/d(x)=6⋅(−1)*x(−1−1)

3. Simplify the coefficient and the exponent.

−6*x(−2)

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

−6/(x2)

Final Answer

d()/d(x)6/x=−6/(x2)

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