Find the Derivative - d/dx x/3

Problem

d()/d(x)x/3

Solution

1. Identify the expression as a linear term where x is multiplied by a constant factor.

2. Rewrite the expression to separate the constant from the variable to make differentiation easier.

x/3=1/3*x

3. Apply the power rule for differentiation, which states that (d(c)*xn)/d(x)=n*c*x(n−1) Here, n=1 and c=1/3

d()/d(x)1/3*x=1⋅1/3*x(1−1)

4. Simplify the resulting expression by evaluating the exponent and the multiplication.

1/3*x0=1/3⋅1=1/3

Final Answer

d()/d(x)x/3=1/3

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