Power Rule:d/dx [x^n] = ___________________
nx^n-1
The power rule states that the derivative of a function expressed as x raised to a power n is given by:
d/dx [x^n] = n*x^(n-1)
Here, ‘d/dx’ denotes the differentiation with respect to x.
For instance, if we consider the function f(x) = x^4, then applying the power rule, we have:
d/dx [x^4] = 4*x^(4-1)
= 4*x^3
Therefore, the derivative of f(x) = x^4 is 4*x^3.
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