Find the Derivative - d/d@VAR f(x)=x^4-4x^3

Problem

d()/d(x)*(x^4−4*x^3)

Solution

1. Identify the function to be differentiated, which is a polynomial consisting of two terms: x^4 and −4*x^3

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

3. Differentiate the first term x^4 to get 4*x^3

4. Differentiate the second term −4*x^3 by multiplying the exponent by the coefficient to get −12*x^2

5. Combine the results to find the final derivative.

Final Answer

(d(x^4)−4*x^3)/d(x)=4*x^3−12*x^2

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