Find the Derivative - d/dx x^5

Problem

d(x^5)/d(x)

Solution

1. Identify the function as a power function of the form x^n where n=5

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

3. Substitute the value n=5 into the formula to get 5*x^(5−1)

4. Simplify the exponent by subtracting 1 from 5 to obtain 4

Final Answer

d(x^5)/d(x)=5*x^4

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