Find the Derivative - d/dx f(x)=x^10

Problem

d(x10)/d(x)

Solution

1. Identify the function as a power function of the form xn where n=10

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

3. Substitute the value n=10 into the formula to get 10*x(10−1)

4. Simplify the exponent by subtracting 1 from 10 to get 9.

Final Answer

d(x10)/d(x)=10*x9

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