Find the Derivative - d/dx x^2-6x

Problem

d()/d(x)*(x2−6*x)

Solution

1. Identify the expression as a difference of two terms, which allows for the use of the sum/difference rule for derivatives.

2. Apply the power rule to the first term, x2 which states that d(xn)/d(x)=n*x(n−1)

3. Differentiate the first term:

d(x2)/d(x)=2*x

4. Apply the constant multiple rule and power rule to the second term, −6*x

5. Differentiate the second term:

(d(−)*6*x)/d(x)=−6

6. Combine the results of the individual derivatives.

Final Answer

d()/d(x)*(x2−6*x)=2*x−6

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