Find the Derivative - d/dx (x^2)/7

Problem

d()/d(x)(x2)/7

Solution

1. Identify the constant factor in the expression. The expression (x2)/7 can be rewritten as 1/7⋅x2

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

3. Apply the power rule to differentiate x2 The power rule states that d(xn)/d(x)=n*x(n−1)

4. Calculate the derivative of x2

d(x2)/d(x)=2*x

5. Multiply the result by the constant factor 1/7

1/7⋅2*x=(2*x)/7

Final Answer

d()/d(x)(x2)/7=(2*x)/7

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