Find the Derivative - d/dx x^2-3x+3

Problem

d()/d(x)*(x2−3*x+3)

Solution

1. Apply the sum rule for derivatives, which allows for the differentiation of each term in the expression individually.

d(x2)/d(x)−(d(3)*x)/d(x)+d(3)/d(x)

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

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

3. Apply the constant multiple rule and power rule to the second term.

(d(3)*x)/d(x)=3

4. Apply the constant rule to the third term, noting that the derivative of any constant is zero.

d(3)/d(x)=0

5. Combine the results to find the final derivative.

2*x−3+0

Final Answer

d()/d(x)*(x2−3*x+3)=2*x−3

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