Find the Derivative - d/d@VAR f(x)=2x^2-5x+3

Problem

d()/d(x)*(2*x^2−5*x+3)

Solution

1. Identify the function to be differentiated, which is a polynomial ƒ(x)=2*x^2−5*x+3

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

(d(2)*x^2)/d(x)=4*x

3. Apply the power rule to the second term −5*x

(d(−)*5*x)/d(x)=−5

4. Apply the constant rule to the third term 3 which states that the derivative of a constant is zero.

d(3)/d(x)=0

5. Combine the results of the individual derivatives to find the final expression.

ƒ(x)^′=4*x−5

Final Answer

d()/d(x)*(2*x^2−5*x+3)=4*x−5

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