Find the Derivative - d/dx 3/x

Problem

d()/d(x)3/x

Solution

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

3/x=3*x(−1)

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

(d(3)*x(−1))/d(x)=3*(−1)*x(−1−1)

3. Simplify the resulting expression by performing the multiplication and subtraction in the exponent.

−3*x(−2)

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

−3/(x2)

Final Answer

d()/d(x)3/x=−3/(x2)

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