Find the Derivative - d/dx x^7

Problem

d(x7)/d(x)

Solution

1. Identify the function as a power function of the form xn where n=7

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

3. Substitute the value n=7 into the formula to get 7*x(7−1)

4. Simplify the exponent by subtracting 1 from 7 to get 6.

Final Answer

d(x7)/d(x)=7*x6

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