Find the Derivative - d/dx (x^4)/4

Problem

d()/d(x)(x^4)/4

Solution

1. Identify the constant factor in the expression, which is 1/4

2. Apply the constant multiple rule of differentiation to move the constant outside the derivative.

d()/d(x)(x^4)/4=1/4d(x^4)/d(x)

3. Apply the power rule d(x^n)/d(x)=n*x^(n−1) to the term x^4

d(x^4)/d(x)=4*x^3

4. Multiply the resulting derivative by the constant factor.

1/4⋅4*x^3=x^3

Final Answer

d()/d(x)(x^4)/4=x^3

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