Find the Derivative - d/d@VAR f(x)=x^12

Problem

d()/d(x)*x^12

Solution

1. Identify the function as a power function of the form x^n where n=12

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

3. Substitute the value n=12 into the power rule formula.

4. Simplify the exponent by calculating $12 - 1 = 11$.

Final Answer

d(x^12)/d(x)=12*x^11

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