Find the Derivative - d/d@VAR f(x)=x^5

Problem

d(x^5)/d(x)

Solution

1. Identify the function to be differentiated, which is ƒ(x)=x^5

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

3. Substitute n=5 into the power rule formula.

4. Simplify the exponent by calculating $5 - 1 = 4$.

Final Answer

d(x^5)/d(x)=5*x^4

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