Find the Derivative - d/dx y=x^2-5x

Problem

d()/d(x)*(x^2−5*x)

Solution

1. Identify the rule for differentiation, which is the power rule: d(x^n)/d(x)=n*x^(n−1)

2. Apply the power rule to the first term, x^2 which results in 2*x^(2−1)=2*x

3. Apply the power rule to the second term, −5*x which results in −5*x^(1−1)=−5

4. Combine the results to find the derivative of the entire expression.

Final Answer

d()/d(x)*(x^2−5*x)=2*x−5

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