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

Problem

d()/d(x)*(4*x−3*x2)

Solution

1. Identify the expression as a difference of two terms, which allows for the use of the sum/difference rule of differentiation.

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

3. Differentiate the first term 4*x which results in 4*(1)*x0=4

4. Differentiate the second term −3*x2 which results in −3*(2)*x1=−6*x

5. Combine the results to find the final derivative.

Final Answer

(d(4)*x−3*x2)/d(x)=4−6*x

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