Find the Derivative - d/dx f(x)=x^9

Problem

d(x9)/d(x)

Solution

1. Identify the function to be differentiated, which is a power function of the form xn where n=9

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

3. Substitute the value n=9 into the power rule formula.

4. Simplify the exponent by calculating 9 - 1 = 8$.

Final Answer

d(x9)/d(x)=9*x8

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