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

Problem

d()/d(x)*(x4−4*x3)

Solution

1. Identify the function to be differentiated, which is a polynomial consisting of two terms: x4 and −4*x3

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 x4 to get 4*x3

4. Differentiate the second term −4*x3 by multiplying the exponent by the coefficient to get −12*x2

5. Combine the results to find the final derivative.

Final Answer

(d(x4)−4*x3)/d(x)=4*x3−12*x2

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