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

Problem

d()/d(x)(x4)/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)(x4)/4=1/4d(x4)/d(x)

3. Apply the power rule d(xn)/d(x)=n*x(n−1) to the term x4

d(x4)/d(x)=4*x3

4. Multiply the resulting derivative by the constant factor.

1/4⋅4*x3=x3

Final Answer

d()/d(x)(x4)/4=x3

Want more problems? Check here!