Find the Derivative - d/dx (x^2)/6

Problem

d()/d(x)(x^2)/6

Solution

1. Identify the constant factor in the expression. The expression (x^2)/6 can be rewritten as 1/6⋅x^2

2. Apply the constant multiple rule for derivatives, which states that d()/d(x)*[c⋅ƒ(x)]=c⋅d(ƒ(x))/d(x)

3. Differentiate the power term x^2 using the power rule, d(x^n)/d(x)=n*x^(n−1)

4. Simplify the resulting expression by multiplying the constant and the derivative.

Final Answer

d()/d(x)(x^2)/6=x/3

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