Find the Derivative - d/d@VAR f(x)=12/x

Problem

d()/d(x)12/x

Solution

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

12/x=12*x(−1)

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

(d(12)*x(−1))/d(x)=12⋅(−1)*x(−1−1)

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

−12*x(−2)

4. Rewrite the result back into fraction form by moving the variable with the negative exponent to the denominator.

−12/(x2)

Final Answer

d()/d(x)12/x=−12/(x2)

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