Find the Derivative - d/d@VAR f(x)=x^13

Problem

d()/d(x)*x13

Solution

1. Identify the function to be differentiated, which is a power function of the form ƒ(x)=xn

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

3. Substitute the value n=13 into the power rule formula.

4. Subtract 1 from the exponent to find the new power, resulting in 13 - 1 = 12$.

Final Answer

d(x13)/d(x)=13*x12

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