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

Problem

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

Solution

1. Simplify the expression inside the derivative by dividing the terms.

(x2)/x=x

2. Rewrite the derivative problem using the simplified expression.

d()/d(x)*x

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

d(x1)/d(x)=1*x(1−1)

4. Simplify the resulting exponent.

1*x0=1

Final Answer

d()/d(x)(x2)/x=1

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