Find the Derivative - d/dx f(x)=x^8

Problem

d()/d(x)*x8

Solution

1. Identify the function as a power function of the form xn where n=8

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

3. Substitute the value of n into the formula to get 8*x(8−1)

4. Simplify the exponent by subtracting 1 from 8 to get 7.

Final Answer

d(x8)/d(x)=8*x7

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