Find the Derivative - d/dx 9/x

Problem

d()/d(x)9/x

Solution

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

9/x=9*x(−1)

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

(d(9)*x(−1))/d(x)=9⋅(−1)*x(−1−1)

3. Simplify the expression by performing the multiplication and subtracting the exponents.

−9*x(−2)

4. Convert the expression back into fraction form by moving the variable with the negative exponent to the denominator.

−9/(x2)

Final Answer

d()/d(x)9/x=−9/(x2)

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