Mastering The Power Rule: Derivatives Of X^N Explained With Examples

Power Rule:d/dx [x^n] = ___________________

nx^n-1

The power rule for derivatives states that the derivative of x raised to the power of n, where n is any real number, is equal to n times x raised to the power of n minus one.

Therefore, the answer to the given question is:

d/dx [x^n] = nx^(n-1)

More Answers:
Differentiability In Mathematics: Smooth Function Changes And Tangent Linearity
Mastering Derivatives: Rules For Deriving Sums And Differences Of Functions
Mastering Derivatives: Why The Derivative Of A Constant Is Always Zero

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