Find the Derivative - d/dx x^-5

Problem

d()/d(x)*x(−5)

Solution

1. Identify the rule needed for the derivative, which is the Power Rule.

2. Apply the formula for the Power Rule, which states that d()/d(x)*xn=n*x(n−1)

3. Substitute n=−5 into the formula.

4. Calculate the new exponent by subtracting 1 from the original exponent: −5−1=−6

5. Simplify the expression to its final form.

Final Answer

d(x(−5))/d(x)=−5*x(−6)

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