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

Problem

d()/d(x)*(x2−2*x)

Solution

1. Identify the rule for differentiation, which is the sum/difference rule, allowing the derivative to be taken for each term individually.

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

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

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

3. Apply the power rule to the second term, 2*x noting that the derivative of x is 1

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

4. Combine the results to find the final derivative.

2*x−2

Final Answer

d()/d(x)*(x2−2*x)=2*x−2

Want more problems? Check here!