Find the Derivative - d/d@VAR f(X)=2x^2+x-1

Problem

d()/d(x)*(2*x2+x−1)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=2*x2+x−1

2. Apply the sum rule for derivatives, which allows for the differentiation of each term individually.

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

4. Differentiate the second term, x which results in 1

5. Differentiate the constant term, −1 which results in 0

6. Combine the results of each term to find the final derivative.

Final Answer

(d(2)*x2+x−1)/d(x)=4*x+1

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