Find the Derivative - d/dx x^2+3x-4

Problem

d()/d(x)*(x^2+3*x−4)

Solution

1. Apply the sum rule for differentiation, which allows for the derivative of each term to be taken individually.

d(x^2)/d(x)+(d(3)*x)/d(x)−d(4)/d(x)

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

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

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

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

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

d(4)/d(x)=0

5. Combine the results to find the final derivative.

2*x+3−0

Final Answer

d()/d(x)*(x^2+3*x−4)=2*x+3

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