Find the Derivative - d/d@VAR f(x)=2x^2-9x+10

Problem

d()/d(x)*(2*x2−9*x+10)

Solution

1. Identify the function to be differentiated, which is a polynomial ƒ(x)=2*x2−9*x+10

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

(d(2)*x2)/d(x)=4*x

3. Apply the power rule to the second term, −9*x

(d(−)*9*x)/d(x)=−9

4. Apply the constant rule to the third term, 10 which states that the derivative of a constant is zero.

d(10)/d(x)=0

5. Combine the results of the derivatives of each term to find the final derivative.

ƒ(x)′=4*x−9+0

Final Answer

(d(2)*x2−9*x+10)/d(x)=4*x−9

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