Find the Derivative - d/dx x^2(1-3x)

Problem

d()/d(x)*x2*(1−3*x)

Solution

1. Distribute the x2 term into the parentheses to rewrite the expression as a polynomial.

x2*(1−3*x)=x2−3*x3

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

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

(d(3)*x3)/d(x)=9*x2

3. Combine the results using the sum/difference rule for derivatives.

d()/d(x)*(x2−3*x3)=2*x−9*x2

Final Answer

d()/d(x)*x2*(1−3*x)=2*x−9*x2

Want more problems? Check here!