Find the Derivative - d/d@VAR f(x)=x^3-3x^2+1

Problem

d()/d(x)*(x^3−3*x^2+1)

Solution

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

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

3. Apply the power rule, d(x^n)/d(x)=n*x^(n−1) to the terms x^3 and −3*x^2

4. Apply the constant rule, d(c)/d(x)=0 to the constant term 1

5. Simplify the resulting expression to find the final derivative.

Final Answer

(d(x^3)−3*x^2+1)/d(x)=3*x^2−6*x

Want more problems? Check here!